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Finding the Fourth Proportional to 8,677.69, 13,013.85 and 3,130.31

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Solution

The fourth proportional to 8,677.69, 13,013.85 and 3,130.31 is: 4,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.69 : 13,013.85 = 3,130.31 : x
  2. Step 2: Convert to fraction form
    8,677.69/13,013.85 = 3,130.31/x
  3. Step 3: Cross multiply
    8,677.69x = 13,013.85 × 3,130.31
  4. Step 4: Simplify right side
    8,677.69x = 40,737,432.31
  5. Step 5: Solve for x
    x = 40,737,432.31/8,677.69
  6. Step 6: Final answer
    x = 4,694.50

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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.