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Finding the Fourth Proportional to 10,658.50, 15,987.90 and 8,681.85

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Solution

The fourth proportional to 10,658.50, 15,987.90 and 8,681.85 is: 13,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.50 : 15,987.90 = 8,681.85 : x
  2. Step 2: Convert to fraction form
    10,658.50/15,987.90 = 8,681.85/x
  3. Step 3: Cross multiply
    10,658.50x = 15,987.90 × 8,681.85
  4. Step 4: Simplify right side
    10,658.50x = 138,804,549.62
  5. Step 5: Solve for x
    x = 138,804,549.62/10,658.50
  6. Step 6: Final answer
    x = 13,022.90

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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.