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Finding the Fourth Proportional to 7,768.47, 11,627.19 and 5,909.52

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Solution

The fourth proportional to 7,768.47, 11,627.19 and 5,909.52 is: 8,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.47 : 11,627.19 = 5,909.52 : x
  2. Step 2: Convert to fraction form
    7,768.47/11,627.19 = 5,909.52/x
  3. Step 3: Cross multiply
    7,768.47x = 11,627.19 × 5,909.52
  4. Step 4: Simplify right side
    7,768.47x = 68,711,111.85
  5. Step 5: Solve for x
    x = 68,711,111.85/7,768.47
  6. Step 6: Final answer
    x = 8,844.87

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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.