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Finding the Fourth Proportional to 6,854.28, 10,284.94 and 2,908.24

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Solution

The fourth proportional to 6,854.28, 10,284.94 and 2,908.24 is: 4,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.28 : 10,284.94 = 2,908.24 : x
  2. Step 2: Convert to fraction form
    6,854.28/10,284.94 = 2,908.24/x
  3. Step 3: Cross multiply
    6,854.28x = 10,284.94 × 2,908.24
  4. Step 4: Simplify right side
    6,854.28x = 29,911,073.91
  5. Step 5: Solve for x
    x = 29,911,073.91/6,854.28
  6. Step 6: Final answer
    x = 4,363.85

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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.