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Finding the Fourth Proportional to 7,478.97, 10,321.05 and 4,121.90

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Solution

The fourth proportional to 7,478.97, 10,321.05 and 4,121.90 is: 5,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.97 : 10,321.05 = 4,121.90 : x
  2. Step 2: Convert to fraction form
    7,478.97/10,321.05 = 4,121.90/x
  3. Step 3: Cross multiply
    7,478.97x = 10,321.05 × 4,121.90
  4. Step 4: Simplify right side
    7,478.97x = 42,542,315.39
  5. Step 5: Solve for x
    x = 42,542,315.39/7,478.97
  6. Step 6: Final answer
    x = 5,688.26

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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.