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Finding the Fourth Proportional to 6,511.68, 9,763.56 and 3,177.78

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Solution

The fourth proportional to 6,511.68, 9,763.56 and 3,177.78 is: 4,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.68 : 9,763.56 = 3,177.78 : x
  2. Step 2: Convert to fraction form
    6,511.68/9,763.56 = 3,177.78/x
  3. Step 3: Cross multiply
    6,511.68x = 9,763.56 × 3,177.78
  4. Step 4: Simplify right side
    6,511.68x = 31,026,445.70
  5. Step 5: Solve for x
    x = 31,026,445.70/6,511.68
  6. Step 6: Final answer
    x = 4,764.74

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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.