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Finding the Fourth Proportional to 6,758.40, 10,147.20 and 4,166.40

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Solution

The fourth proportional to 6,758.40, 10,147.20 and 4,166.40 is: 6,255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.40 : 10,147.20 = 4,166.40 : x
  2. Step 2: Convert to fraction form
    6,758.40/10,147.20 = 4,166.40/x
  3. Step 3: Cross multiply
    6,758.40x = 10,147.20 × 4,166.40
  4. Step 4: Simplify right side
    6,758.40x = 42,277,294.08
  5. Step 5: Solve for x
    x = 42,277,294.08/6,758.40
  6. Step 6: Final answer
    x = 6,255.52

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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.