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Finding the Fourth Proportional to 8,230.50, 12,345.89 and 2,387.70

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Solution

The fourth proportional to 8,230.50, 12,345.89 and 2,387.70 is: 3,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.50 : 12,345.89 = 2,387.70 : x
  2. Step 2: Convert to fraction form
    8,230.50/12,345.89 = 2,387.70/x
  3. Step 3: Cross multiply
    8,230.50x = 12,345.89 × 2,387.70
  4. Step 4: Simplify right side
    8,230.50x = 29,478,269.61
  5. Step 5: Solve for x
    x = 29,478,269.61/8,230.50
  6. Step 6: Final answer
    x = 3,581.59

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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.