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Finding the Fourth Proportional to 7,531.69, 11,301.47 and 5,468.73

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Solution

The fourth proportional to 7,531.69, 11,301.47 and 5,468.73 is: 8,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.69 : 11,301.47 = 5,468.73 : x
  2. Step 2: Convert to fraction form
    7,531.69/11,301.47 = 5,468.73/x
  3. Step 3: Cross multiply
    7,531.69x = 11,301.47 × 5,468.73
  4. Step 4: Simplify right side
    7,531.69x = 61,804,723.12
  5. Step 5: Solve for x
    x = 61,804,723.12/7,531.69
  6. Step 6: Final answer
    x = 8,205.96

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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.