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Finding the Fourth Proportional to 6,854.60, 10,286.15 and 3,157.35

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Solution

The fourth proportional to 6,854.60, 10,286.15 and 3,157.35 is: 4,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.60 : 10,286.15 = 3,157.35 : x
  2. Step 2: Convert to fraction form
    6,854.60/10,286.15 = 3,157.35/x
  3. Step 3: Cross multiply
    6,854.60x = 10,286.15 × 3,157.35
  4. Step 4: Simplify right side
    6,854.60x = 32,476,959.92
  5. Step 5: Solve for x
    x = 32,476,959.92/6,854.60
  6. Step 6: Final answer
    x = 4,737.98

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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.