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Finding the Fourth Proportional to 7,789.56, 11,686.19 and 2,524.57

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Solution

The fourth proportional to 7,789.56, 11,686.19 and 2,524.57 is: 3,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.56 : 11,686.19 = 2,524.57 : x
  2. Step 2: Convert to fraction form
    7,789.56/11,686.19 = 2,524.57/x
  3. Step 3: Cross multiply
    7,789.56x = 11,686.19 × 2,524.57
  4. Step 4: Simplify right side
    7,789.56x = 29,502,581.78
  5. Step 5: Solve for x
    x = 29,502,581.78/7,789.56
  6. Step 6: Final answer
    x = 3,787.45

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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.