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Finding the Fourth Proportional to 7,889,817.60, 11,834,726.40 and 6,543,500.40

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Solution

The fourth proportional to 7,889,817.60, 11,834,726.40 and 6,543,500.40 is: 9,815,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889,817.60 : 11,834,726.40 = 6,543,500.40 : x
  2. Step 2: Convert to fraction form
    7,889,817.60/11,834,726.40 = 6,543,500.40/x
  3. Step 3: Cross multiply
    7,889,817.60x = 11,834,726.40 × 6,543,500.40
  4. Step 4: Simplify right side
    7,889,817.60x = 77,440,536,932,290.56
  5. Step 5: Solve for x
    x = 77,440,536,932,290.56/7,889,817.60
  6. Step 6: Final answer
    x = 9,815,250.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.