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Finding the Fourth Proportional to 11,685.71, 16,126.28 and 6,380.53

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Solution

The fourth proportional to 11,685.71, 16,126.28 and 6,380.53 is: 8,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.71 : 16,126.28 = 6,380.53 : x
  2. Step 2: Convert to fraction form
    11,685.71/16,126.28 = 6,380.53/x
  3. Step 3: Cross multiply
    11,685.71x = 16,126.28 × 6,380.53
  4. Step 4: Simplify right side
    11,685.71x = 102,894,213.33
  5. Step 5: Solve for x
    x = 102,894,213.33/11,685.71
  6. Step 6: Final answer
    x = 8,805.13

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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.