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Finding the Fourth Proportional to 7,689.35, 11,534.03 and 2,142.71

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Solution

The fourth proportional to 7,689.35, 11,534.03 and 2,142.71 is: 3,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.35 : 11,534.03 = 2,142.71 : x
  2. Step 2: Convert to fraction form
    7,689.35/11,534.03 = 2,142.71/x
  3. Step 3: Cross multiply
    7,689.35x = 11,534.03 × 2,142.71
  4. Step 4: Simplify right side
    7,689.35x = 24,714,086.78
  5. Step 5: Solve for x
    x = 24,714,086.78/7,689.35
  6. Step 6: Final answer
    x = 3,214.07

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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.