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Finding the Fourth Proportional to 10,947.52, 15,109.88 and 6,413.16

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Solution

The fourth proportional to 10,947.52, 15,109.88 and 6,413.16 is: 8,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.52 : 15,109.88 = 6,413.16 : x
  2. Step 2: Convert to fraction form
    10,947.52/15,109.88 = 6,413.16/x
  3. Step 3: Cross multiply
    10,947.52x = 15,109.88 × 6,413.16
  4. Step 4: Simplify right side
    10,947.52x = 96,902,078.02
  5. Step 5: Solve for x
    x = 96,902,078.02/10,947.52
  6. Step 6: Final answer
    x = 8,851.51

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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.