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Finding the Fourth Proportional to 10,534.97, 14,534.78 and 6,951.71

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Solution

The fourth proportional to 10,534.97, 14,534.78 and 6,951.71 is: 9,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.97 : 14,534.78 = 6,951.71 : x
  2. Step 2: Convert to fraction form
    10,534.97/14,534.78 = 6,951.71/x
  3. Step 3: Cross multiply
    10,534.97x = 14,534.78 × 6,951.71
  4. Step 4: Simplify right side
    10,534.97x = 101,041,536.17
  5. Step 5: Solve for x
    x = 101,041,536.17/10,534.97
  6. Step 6: Final answer
    x = 9,591.06

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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.