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Finding the Fourth Proportional to 7,478.60, 10,320.42 and 4,121.44

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Solution

The fourth proportional to 7,478.60, 10,320.42 and 4,121.44 is: 5,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.60 : 10,320.42 = 4,121.44 : x
  2. Step 2: Convert to fraction form
    7,478.60/10,320.42 = 4,121.44/x
  3. Step 3: Cross multiply
    7,478.60x = 10,320.42 × 4,121.44
  4. Step 4: Simplify right side
    7,478.60x = 42,534,991.80
  5. Step 5: Solve for x
    x = 42,534,991.80/7,478.60
  6. Step 6: Final answer
    x = 5,687.56

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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.