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Finding the Fourth Proportional to 7,788.61, 11,684.46 and 2,524.96

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Solution

The fourth proportional to 7,788.61, 11,684.46 and 2,524.96 is: 3,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.61 : 11,684.46 = 2,524.96 : x
  2. Step 2: Convert to fraction form
    7,788.61/11,684.46 = 2,524.96/x
  3. Step 3: Cross multiply
    7,788.61x = 11,684.46 × 2,524.96
  4. Step 4: Simplify right side
    7,788.61x = 29,502,735.70
  5. Step 5: Solve for x
    x = 29,502,735.70/7,788.61
  6. Step 6: Final answer
    x = 3,787.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.