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Finding the Fourth Proportional to 7,542.88, 11,305.10 and 5,470.02

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Solution

The fourth proportional to 7,542.88, 11,305.10 and 5,470.02 is: 8,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.88 : 11,305.10 = 5,470.02 : x
  2. Step 2: Convert to fraction form
    7,542.88/11,305.10 = 5,470.02/x
  3. Step 3: Cross multiply
    7,542.88x = 11,305.10 × 5,470.02
  4. Step 4: Simplify right side
    7,542.88x = 61,839,123.10
  5. Step 5: Solve for x
    x = 61,839,123.10/7,542.88
  6. Step 6: Final answer
    x = 8,198.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.