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Finding the Fourth Proportional to 7,868.70, 11,777.46 and 5,788.20

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Solution

The fourth proportional to 7,868.70, 11,777.46 and 5,788.20 is: 8,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.70 : 11,777.46 = 5,788.20 : x
  2. Step 2: Convert to fraction form
    7,868.70/11,777.46 = 5,788.20/x
  3. Step 3: Cross multiply
    7,868.70x = 11,777.46 × 5,788.20
  4. Step 4: Simplify right side
    7,868.70x = 68,170,293.97
  5. Step 5: Solve for x
    x = 68,170,293.97/7,868.70
  6. Step 6: Final answer
    x = 8,663.48

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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.