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Finding the Fourth Proportional to 8,294.68, 11,446.86 and 4,518

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Solution

The fourth proportional to 8,294.68, 11,446.86 and 4,518 is: 6,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.68 : 11,446.86 = 4,518 : x
  2. Step 2: Convert to fraction form
    8,294.68/11,446.86 = 4,518/x
  3. Step 3: Cross multiply
    8,294.68x = 11,446.86 × 4,518
  4. Step 4: Simplify right side
    8,294.68x = 51,716,913.48
  5. Step 5: Solve for x
    x = 51,716,913.48/8,294.68
  6. Step 6: Final answer
    x = 6,234.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.