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Finding the Fourth Proportional to 7,686.52, 11,529.80 and 2,214.52

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Solution

The fourth proportional to 7,686.52, 11,529.80 and 2,214.52 is: 3,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.52 : 11,529.80 = 2,214.52 : x
  2. Step 2: Convert to fraction form
    7,686.52/11,529.80 = 2,214.52/x
  3. Step 3: Cross multiply
    7,686.52x = 11,529.80 × 2,214.52
  4. Step 4: Simplify right side
    7,686.52x = 25,532,972.70
  5. Step 5: Solve for x
    x = 25,532,972.70/7,686.52
  6. Step 6: Final answer
    x = 3,321.79

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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.