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Finding the Fourth Proportional to 7,542.56, 10,371.81 and 6,546.10

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Solution

The fourth proportional to 7,542.56, 10,371.81 and 6,546.10 is: 9,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.56 : 10,371.81 = 6,546.10 : x
  2. Step 2: Convert to fraction form
    7,542.56/10,371.81 = 6,546.10/x
  3. Step 3: Cross multiply
    7,542.56x = 10,371.81 × 6,546.10
  4. Step 4: Simplify right side
    7,542.56x = 67,894,905.44
  5. Step 5: Solve for x
    x = 67,894,905.44/7,542.56
  6. Step 6: Final answer
    x = 9,001.58

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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.