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Finding the Fourth Proportional to 8,170.64, 12,246.24 and 2,970.48

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Solution

The fourth proportional to 8,170.64, 12,246.24 and 2,970.48 is: 4,452.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.64 : 12,246.24 = 2,970.48 : x
  2. Step 2: Convert to fraction form
    8,170.64/12,246.24 = 2,970.48/x
  3. Step 3: Cross multiply
    8,170.64x = 12,246.24 × 2,970.48
  4. Step 4: Simplify right side
    8,170.64x = 36,377,211.00
  5. Step 5: Solve for x
    x = 36,377,211.00/8,170.64
  6. Step 6: Final answer
    x = 4,452.19

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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.