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Finding the Fourth Proportional to 6,734.58, 10,103.50 and 2,117.58

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Solution

The fourth proportional to 6,734.58, 10,103.50 and 2,117.58 is: 3,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.58 : 10,103.50 = 2,117.58 : x
  2. Step 2: Convert to fraction form
    6,734.58/10,103.50 = 2,117.58/x
  3. Step 3: Cross multiply
    6,734.58x = 10,103.50 × 2,117.58
  4. Step 4: Simplify right side
    6,734.58x = 21,394,969.53
  5. Step 5: Solve for x
    x = 21,394,969.53/6,734.58
  6. Step 6: Final answer
    x = 3,176.88

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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.