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Finding the Fourth Proportional to 7,663.29, 11,489.10 and 3,963.15

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Solution

The fourth proportional to 7,663.29, 11,489.10 and 3,963.15 is: 5,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.29 : 11,489.10 = 3,963.15 : x
  2. Step 2: Convert to fraction form
    7,663.29/11,489.10 = 3,963.15/x
  3. Step 3: Cross multiply
    7,663.29x = 11,489.10 × 3,963.15
  4. Step 4: Simplify right side
    7,663.29x = 45,533,026.67
  5. Step 5: Solve for x
    x = 45,533,026.67/7,663.29
  6. Step 6: Final answer
    x = 5,941.71

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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.