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Finding the Fourth Proportional to 7,534.70, 10,387.68 and 6,353.72

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Solution

The fourth proportional to 7,534.70, 10,387.68 and 6,353.72 is: 8,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.70 : 10,387.68 = 6,353.72 : x
  2. Step 2: Convert to fraction form
    7,534.70/10,387.68 = 6,353.72/x
  3. Step 3: Cross multiply
    7,534.70x = 10,387.68 × 6,353.72
  4. Step 4: Simplify right side
    7,534.70x = 66,000,410.17
  5. Step 5: Solve for x
    x = 66,000,410.17/7,534.70
  6. Step 6: Final answer
    x = 8,759.53

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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.