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Finding the Fourth Proportional to 7,610.57, 11,411.29 and 3,162.87

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Solution

The fourth proportional to 7,610.57, 11,411.29 and 3,162.87 is: 4,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.57 : 11,411.29 = 3,162.87 : x
  2. Step 2: Convert to fraction form
    7,610.57/11,411.29 = 3,162.87/x
  3. Step 3: Cross multiply
    7,610.57x = 11,411.29 × 3,162.87
  4. Step 4: Simplify right side
    7,610.57x = 36,092,353.93
  5. Step 5: Solve for x
    x = 36,092,353.93/7,610.57
  6. Step 6: Final answer
    x = 4,742.40

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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.