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Finding the Fourth Proportional to 10,713.92, 14,785.12 and 5,998.24

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Solution

The fourth proportional to 10,713.92, 14,785.12 and 5,998.24 is: 8,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.92 : 14,785.12 = 5,998.24 : x
  2. Step 2: Convert to fraction form
    10,713.92/14,785.12 = 5,998.24/x
  3. Step 3: Cross multiply
    10,713.92x = 14,785.12 × 5,998.24
  4. Step 4: Simplify right side
    10,713.92x = 88,684,698.19
  5. Step 5: Solve for x
    x = 88,684,698.19/10,713.92
  6. Step 6: Final answer
    x = 8,277.52

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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.