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Finding the Fourth Proportional to 10,715.52, 14,785.68 and 5,999.52

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Solution

The fourth proportional to 10,715.52, 14,785.68 and 5,999.52 is: 8,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.52 : 14,785.68 = 5,999.52 : x
  2. Step 2: Convert to fraction form
    10,715.52/14,785.68 = 5,999.52/x
  3. Step 3: Cross multiply
    10,715.52x = 14,785.68 × 5,999.52
  4. Step 4: Simplify right side
    10,715.52x = 88,706,982.87
  5. Step 5: Solve for x
    x = 88,706,982.87/10,715.52
  6. Step 6: Final answer
    x = 8,278.36

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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.