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Finding the Fourth Proportional to 11,404.38, 15,737.15 and 6,368.21

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Solution

The fourth proportional to 11,404.38, 15,737.15 and 6,368.21 is: 8,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.38 : 15,737.15 = 6,368.21 : x
  2. Step 2: Convert to fraction form
    11,404.38/15,737.15 = 6,368.21/x
  3. Step 3: Cross multiply
    11,404.38x = 15,737.15 × 6,368.21
  4. Step 4: Simplify right side
    11,404.38x = 100,217,476.00
  5. Step 5: Solve for x
    x = 100,217,476.00/11,404.38
  6. Step 6: Final answer
    x = 8,787.63

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Why These Related Problems?

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