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Finding the Fourth Proportional to 10,707.66, 15,988.61 and 9,447.75

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Solution

The fourth proportional to 10,707.66, 15,988.61 and 9,447.75 is: 14,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.66 : 15,988.61 = 9,447.75 : x
  2. Step 2: Convert to fraction form
    10,707.66/15,988.61 = 9,447.75/x
  3. Step 3: Cross multiply
    10,707.66x = 15,988.61 × 9,447.75
  4. Step 4: Simplify right side
    10,707.66x = 151,056,413.75
  5. Step 5: Solve for x
    x = 151,056,413.75/10,707.66
  6. Step 6: Final answer
    x = 14,107.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.