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Finding the Fourth Proportional to 10,732.38, 14,809.88 and 6,015.75

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Solution

The fourth proportional to 10,732.38, 14,809.88 and 6,015.75 is: 8,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.38 : 14,809.88 = 6,015.75 : x
  2. Step 2: Convert to fraction form
    10,732.38/14,809.88 = 6,015.75/x
  3. Step 3: Cross multiply
    10,732.38x = 14,809.88 × 6,015.75
  4. Step 4: Simplify right side
    10,732.38x = 89,092,505.53
  5. Step 5: Solve for x
    x = 89,092,505.53/10,732.38
  6. Step 6: Final answer
    x = 8,301.28

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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.