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Finding the Fourth Proportional to 7,934.64, 10,949.64 and 4,397.82

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Solution

The fourth proportional to 7,934.64, 10,949.64 and 4,397.82 is: 6,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.64 : 10,949.64 = 4,397.82 : x
  2. Step 2: Convert to fraction form
    7,934.64/10,949.64 = 4,397.82/x
  3. Step 3: Cross multiply
    7,934.64x = 10,949.64 × 4,397.82
  4. Step 4: Simplify right side
    7,934.64x = 48,154,545.78
  5. Step 5: Solve for x
    x = 48,154,545.78/7,934.64
  6. Step 6: Final answer
    x = 6,068.90

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