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Finding the Fourth Proportional to 8,982.96, 13,480.59 and 3,139.57

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Solution

The fourth proportional to 8,982.96, 13,480.59 and 3,139.57 is: 4,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.96 : 13,480.59 = 3,139.57 : x
  2. Step 2: Convert to fraction form
    8,982.96/13,480.59 = 3,139.57/x
  3. Step 3: Cross multiply
    8,982.96x = 13,480.59 × 3,139.57
  4. Step 4: Simplify right side
    8,982.96x = 42,323,255.95
  5. Step 5: Solve for x
    x = 42,323,255.95/8,982.96
  6. Step 6: Final answer
    x = 4,711.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.