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Finding the Fourth Proportional to 6,520.76, 9,778.32 and 2,077.28

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Solution

The fourth proportional to 6,520.76, 9,778.32 and 2,077.28 is: 3,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.76 : 9,778.32 = 2,077.28 : x
  2. Step 2: Convert to fraction form
    6,520.76/9,778.32 = 2,077.28/x
  3. Step 3: Cross multiply
    6,520.76x = 9,778.32 × 2,077.28
  4. Step 4: Simplify right side
    6,520.76x = 20,312,308.57
  5. Step 5: Solve for x
    x = 20,312,308.57/6,520.76
  6. Step 6: Final answer
    x = 3,115.02

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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.