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Finding the Fourth Proportional to 7,934.90, 10,949.78 and 4,578.80

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Solution

The fourth proportional to 7,934.90, 10,949.78 and 4,578.80 is: 6,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.90 : 10,949.78 = 4,578.80 : x
  2. Step 2: Convert to fraction form
    7,934.90/10,949.78 = 4,578.80/x
  3. Step 3: Cross multiply
    7,934.90x = 10,949.78 × 4,578.80
  4. Step 4: Simplify right side
    7,934.90x = 50,136,775.02
  5. Step 5: Solve for x
    x = 50,136,775.02/7,934.90
  6. Step 6: Final answer
    x = 6,318.52

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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.