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Finding the Fourth Proportional to 8,490.93, 12,711.75 and 5,193.96

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Solution

The fourth proportional to 8,490.93, 12,711.75 and 5,193.96 is: 7,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.93 : 12,711.75 = 5,193.96 : x
  2. Step 2: Convert to fraction form
    8,490.93/12,711.75 = 5,193.96/x
  3. Step 3: Cross multiply
    8,490.93x = 12,711.75 × 5,193.96
  4. Step 4: Simplify right side
    8,490.93x = 66,024,321.03
  5. Step 5: Solve for x
    x = 66,024,321.03/8,490.93
  6. Step 6: Final answer
    x = 7,775.86

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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.