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Finding the Fourth Proportional to 7,142.70, 10,718.49 and 3,445.32

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Solution

The fourth proportional to 7,142.70, 10,718.49 and 3,445.32 is: 5,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.70 : 10,718.49 = 3,445.32 : x
  2. Step 2: Convert to fraction form
    7,142.70/10,718.49 = 3,445.32/x
  3. Step 3: Cross multiply
    7,142.70x = 10,718.49 × 3,445.32
  4. Step 4: Simplify right side
    7,142.70x = 36,928,627.97
  5. Step 5: Solve for x
    x = 36,928,627.97/7,142.70
  6. Step 6: Final answer
    x = 5,170.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.