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Finding the Fourth Proportional to 7,542.47, 11,292.71 and 3,836.72

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Solution

The fourth proportional to 7,542.47, 11,292.71 and 3,836.72 is: 5,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.47 : 11,292.71 = 3,836.72 : x
  2. Step 2: Convert to fraction form
    7,542.47/11,292.71 = 3,836.72/x
  3. Step 3: Cross multiply
    7,542.47x = 11,292.71 × 3,836.72
  4. Step 4: Simplify right side
    7,542.47x = 43,326,890.66
  5. Step 5: Solve for x
    x = 43,326,890.66/7,542.47
  6. Step 6: Final answer
    x = 5,744.39

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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.