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Finding the Fourth Proportional to 8,363.50, 12,547.41 and 2,440.24

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Solution

The fourth proportional to 8,363.50, 12,547.41 and 2,440.24 is: 3,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.50 : 12,547.41 = 2,440.24 : x
  2. Step 2: Convert to fraction form
    8,363.50/12,547.41 = 2,440.24/x
  3. Step 3: Cross multiply
    8,363.50x = 12,547.41 × 2,440.24
  4. Step 4: Simplify right side
    8,363.50x = 30,618,691.78
  5. Step 5: Solve for x
    x = 30,618,691.78/8,363.50
  6. Step 6: Final answer
    x = 3,660.99

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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.