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Finding the Fourth Proportional to 6,517.76, 9,777.28 and 2,820.08

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Solution

The fourth proportional to 6,517.76, 9,777.28 and 2,820.08 is: 4,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.76 : 9,777.28 = 2,820.08 : x
  2. Step 2: Convert to fraction form
    6,517.76/9,777.28 = 2,820.08/x
  3. Step 3: Cross multiply
    6,517.76x = 9,777.28 × 2,820.08
  4. Step 4: Simplify right side
    6,517.76x = 27,572,711.78
  5. Step 5: Solve for x
    x = 27,572,711.78/6,517.76
  6. Step 6: Final answer
    x = 4,230.40

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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.