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Finding the Fourth Proportional to 6,854.32, 10,267.78 and 3,151.47

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Solution

The fourth proportional to 6,854.32, 10,267.78 and 3,151.47 is: 4,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.32 : 10,267.78 = 3,151.47 : x
  2. Step 2: Convert to fraction form
    6,854.32/10,267.78 = 3,151.47/x
  3. Step 3: Cross multiply
    6,854.32x = 10,267.78 × 3,151.47
  4. Step 4: Simplify right side
    6,854.32x = 32,358,600.64
  5. Step 5: Solve for x
    x = 32,358,600.64/6,854.32
  6. Step 6: Final answer
    x = 4,720.91

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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.