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Finding the Fourth Proportional to 10,935.49, 15,098.24 and 8,413.15

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Solution

The fourth proportional to 10,935.49, 15,098.24 and 8,413.15 is: 11,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.49 : 15,098.24 = 8,413.15 : x
  2. Step 2: Convert to fraction form
    10,935.49/15,098.24 = 8,413.15/x
  3. Step 3: Cross multiply
    10,935.49x = 15,098.24 × 8,413.15
  4. Step 4: Simplify right side
    10,935.49x = 127,023,757.86
  5. Step 5: Solve for x
    x = 127,023,757.86/10,935.49
  6. Step 6: Final answer
    x = 11,615.74

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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.