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Finding the Fourth Proportional to 6,364.76, 8,778.66 and 4,265.24

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Solution

The fourth proportional to 6,364.76, 8,778.66 and 4,265.24 is: 5,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.76 : 8,778.66 = 4,265.24 : x
  2. Step 2: Convert to fraction form
    6,364.76/8,778.66 = 4,265.24/x
  3. Step 3: Cross multiply
    6,364.76x = 8,778.66 × 4,265.24
  4. Step 4: Simplify right side
    6,364.76x = 37,443,091.78
  5. Step 5: Solve for x
    x = 37,443,091.78/6,364.76
  6. Step 6: Final answer
    x = 5,882.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.