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Finding the Fourth Proportional to 6,778.64, 10,167.96 and 2,880.32

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Solution

The fourth proportional to 6,778.64, 10,167.96 and 2,880.32 is: 4,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.64 : 10,167.96 = 2,880.32 : x
  2. Step 2: Convert to fraction form
    6,778.64/10,167.96 = 2,880.32/x
  3. Step 3: Cross multiply
    6,778.64x = 10,167.96 × 2,880.32
  4. Step 4: Simplify right side
    6,778.64x = 29,286,978.55
  5. Step 5: Solve for x
    x = 29,286,978.55/6,778.64
  6. Step 6: Final answer
    x = 4,320.48

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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.