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Finding the Fourth Proportional to 7,253.79, 10,882.92 and 6,413.18

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Solution

The fourth proportional to 7,253.79, 10,882.92 and 6,413.18 is: 9,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.79 : 10,882.92 = 6,413.18 : x
  2. Step 2: Convert to fraction form
    7,253.79/10,882.92 = 6,413.18/x
  3. Step 3: Cross multiply
    7,253.79x = 10,882.92 × 6,413.18
  4. Step 4: Simplify right side
    7,253.79x = 69,794,070.47
  5. Step 5: Solve for x
    x = 69,794,070.47/7,253.79
  6. Step 6: Final answer
    x = 9,621.74

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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.