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Finding the Fourth Proportional to 7,816.56, 11,726.54 and 4,486.35

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Solution

The fourth proportional to 7,816.56, 11,726.54 and 4,486.35 is: 6,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.56 : 11,726.54 = 4,486.35 : x
  2. Step 2: Convert to fraction form
    7,816.56/11,726.54 = 4,486.35/x
  3. Step 3: Cross multiply
    7,816.56x = 11,726.54 × 4,486.35
  4. Step 4: Simplify right side
    7,816.56x = 52,609,340.30
  5. Step 5: Solve for x
    x = 52,609,340.30/7,816.56
  6. Step 6: Final answer
    x = 6,730.50

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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.