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Finding the Fourth Proportional to 7,689.70, 11,534.65 and 2,142.91

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Solution

The fourth proportional to 7,689.70, 11,534.65 and 2,142.91 is: 3,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.70 : 11,534.65 = 2,142.91 : x
  2. Step 2: Convert to fraction form
    7,689.70/11,534.65 = 2,142.91/x
  3. Step 3: Cross multiply
    7,689.70x = 11,534.65 × 2,142.91
  4. Step 4: Simplify right side
    7,689.70x = 24,717,716.83
  5. Step 5: Solve for x
    x = 24,717,716.83/7,689.70
  6. Step 6: Final answer
    x = 3,214.39

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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.