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Finding the Fourth Proportional to 10,023.72, 13,839.02 and 6,440.13

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Solution

The fourth proportional to 10,023.72, 13,839.02 and 6,440.13 is: 8,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.72 : 13,839.02 = 6,440.13 : x
  2. Step 2: Convert to fraction form
    10,023.72/13,839.02 = 6,440.13/x
  3. Step 3: Cross multiply
    10,023.72x = 13,839.02 × 6,440.13
  4. Step 4: Simplify right side
    10,023.72x = 89,125,055.67
  5. Step 5: Solve for x
    x = 89,125,055.67/10,023.72
  6. Step 6: Final answer
    x = 8,891.42

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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.