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Finding the Fourth Proportional to 11,397.59, 15,729.47 and 6,362.80

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Solution

The fourth proportional to 11,397.59, 15,729.47 and 6,362.80 is: 8,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.59 : 15,729.47 = 6,362.80 : x
  2. Step 2: Convert to fraction form
    11,397.59/15,729.47 = 6,362.80/x
  3. Step 3: Cross multiply
    11,397.59x = 15,729.47 × 6,362.80
  4. Step 4: Simplify right side
    11,397.59x = 100,083,439.90
  5. Step 5: Solve for x
    x = 100,083,439.90/11,397.59
  6. Step 6: Final answer
    x = 8,781.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.