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Finding the Fourth Proportional to 8,478.38, 11,700.84 and 4,701.92

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Solution

The fourth proportional to 8,478.38, 11,700.84 and 4,701.92 is: 6,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.38 : 11,700.84 = 4,701.92 : x
  2. Step 2: Convert to fraction form
    8,478.38/11,700.84 = 4,701.92/x
  3. Step 3: Cross multiply
    8,478.38x = 11,700.84 × 4,701.92
  4. Step 4: Simplify right side
    8,478.38x = 55,016,413.61
  5. Step 5: Solve for x
    x = 55,016,413.61/8,478.38
  6. Step 6: Final answer
    x = 6,489.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.