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Finding the Fourth Proportional to 8,098.87, 12,129.16 and 6,331.50

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Solution

The fourth proportional to 8,098.87, 12,129.16 and 6,331.50 is: 9,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.87 : 12,129.16 = 6,331.50 : x
  2. Step 2: Convert to fraction form
    8,098.87/12,129.16 = 6,331.50/x
  3. Step 3: Cross multiply
    8,098.87x = 12,129.16 × 6,331.50
  4. Step 4: Simplify right side
    8,098.87x = 76,795,776.54
  5. Step 5: Solve for x
    x = 76,795,776.54/8,098.87
  6. Step 6: Final answer
    x = 9,482.28

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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.