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Finding the Fourth Proportional to 7,478.81, 10,320.29 and 4,121.44

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Solution

The fourth proportional to 7,478.81, 10,320.29 and 4,121.44 is: 5,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.81 : 10,320.29 = 4,121.44 : x
  2. Step 2: Convert to fraction form
    7,478.81/10,320.29 = 4,121.44/x
  3. Step 3: Cross multiply
    7,478.81x = 10,320.29 × 4,121.44
  4. Step 4: Simplify right side
    7,478.81x = 42,534,456.02
  5. Step 5: Solve for x
    x = 42,534,456.02/7,478.81
  6. Step 6: Final answer
    x = 5,687.33

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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.