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Finding the Fourth Proportional to 8,363.62, 12,541.46 and 4,854.71

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Solution

The fourth proportional to 8,363.62, 12,541.46 and 4,854.71 is: 7,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.62 : 12,541.46 = 4,854.71 : x
  2. Step 2: Convert to fraction form
    8,363.62/12,541.46 = 4,854.71/x
  3. Step 3: Cross multiply
    8,363.62x = 12,541.46 × 4,854.71
  4. Step 4: Simplify right side
    8,363.62x = 60,885,199.46
  5. Step 5: Solve for x
    x = 60,885,199.46/8,363.62
  6. Step 6: Final answer
    x = 7,279.76

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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.