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Finding the Fourth Proportional to 7,413.52, 10,234.37 and 5,731.12

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Solution

The fourth proportional to 7,413.52, 10,234.37 and 5,731.12 is: 7,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.52 : 10,234.37 = 5,731.12 : x
  2. Step 2: Convert to fraction form
    7,413.52/10,234.37 = 5,731.12/x
  3. Step 3: Cross multiply
    7,413.52x = 10,234.37 × 5,731.12
  4. Step 4: Simplify right side
    7,413.52x = 58,654,402.59
  5. Step 5: Solve for x
    x = 58,654,402.59/7,413.52
  6. Step 6: Final answer
    x = 7,911.82

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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.