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Finding the Fourth Proportional to 7,126.91, 10,689.35 and 2,446.83

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Solution

The fourth proportional to 7,126.91, 10,689.35 and 2,446.83 is: 3,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.91 : 10,689.35 = 2,446.83 : x
  2. Step 2: Convert to fraction form
    7,126.91/10,689.35 = 2,446.83/x
  3. Step 3: Cross multiply
    7,126.91x = 10,689.35 × 2,446.83
  4. Step 4: Simplify right side
    7,126.91x = 26,155,010.03
  5. Step 5: Solve for x
    x = 26,155,010.03/7,126.91
  6. Step 6: Final answer
    x = 3,669.90

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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.