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Finding the Fourth Proportional to 7,142.16, 10,713.22 and 3,856.80

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Solution

The fourth proportional to 7,142.16, 10,713.22 and 3,856.80 is: 5,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.16 : 10,713.22 = 3,856.80 : x
  2. Step 2: Convert to fraction form
    7,142.16/10,713.22 = 3,856.80/x
  3. Step 3: Cross multiply
    7,142.16x = 10,713.22 × 3,856.80
  4. Step 4: Simplify right side
    7,142.16x = 41,318,746.90
  5. Step 5: Solve for x
    x = 41,318,746.90/7,142.16
  6. Step 6: Final answer
    x = 5,785.19

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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.