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Finding the Fourth Proportional to 6,903.90, 10,348.17 and 4,134.30

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Solution

The fourth proportional to 6,903.90, 10,348.17 and 4,134.30 is: 6,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.90 : 10,348.17 = 4,134.30 : x
  2. Step 2: Convert to fraction form
    6,903.90/10,348.17 = 4,134.30/x
  3. Step 3: Cross multiply
    6,903.90x = 10,348.17 × 4,134.30
  4. Step 4: Simplify right side
    6,903.90x = 42,782,439.23
  5. Step 5: Solve for x
    x = 42,782,439.23/6,903.90
  6. Step 6: Final answer
    x = 6,196.85

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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.