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Finding the Fourth Proportional to 8,478.77, 11,701.17 and 4,702.39

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Solution

The fourth proportional to 8,478.77, 11,701.17 and 4,702.39 is: 6,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.77 : 11,701.17 = 4,702.39 : x
  2. Step 2: Convert to fraction form
    8,478.77/11,701.17 = 4,702.39/x
  3. Step 3: Cross multiply
    8,478.77x = 11,701.17 × 4,702.39
  4. Step 4: Simplify right side
    8,478.77x = 55,023,435.54
  5. Step 5: Solve for x
    x = 55,023,435.54/8,478.77
  6. Step 6: Final answer
    x = 6,489.56

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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.