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Finding the Fourth Proportional to 7,610.92, 11,411.28 and 3,167.42

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Solution

The fourth proportional to 7,610.92, 11,411.28 and 3,167.42 is: 4,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.92 : 11,411.28 = 3,167.42 : x
  2. Step 2: Convert to fraction form
    7,610.92/11,411.28 = 3,167.42/x
  3. Step 3: Cross multiply
    7,610.92x = 11,411.28 × 3,167.42
  4. Step 4: Simplify right side
    7,610.92x = 36,144,259.44
  5. Step 5: Solve for x
    x = 36,144,259.44/7,610.92
  6. Step 6: Final answer
    x = 4,749.00

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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.