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Finding the Fourth Proportional to 7,687.76, 11,532.06 and 2,141.10

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Solution

The fourth proportional to 7,687.76, 11,532.06 and 2,141.10 is: 3,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.76 : 11,532.06 = 2,141.10 : x
  2. Step 2: Convert to fraction form
    7,687.76/11,532.06 = 2,141.10/x
  3. Step 3: Cross multiply
    7,687.76x = 11,532.06 × 2,141.10
  4. Step 4: Simplify right side
    7,687.76x = 24,691,293.67
  5. Step 5: Solve for x
    x = 24,691,293.67/7,687.76
  6. Step 6: Final answer
    x = 3,211.77

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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.