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Finding the Fourth Proportional to 8,145.60, 12,219.76 and 2,952.80

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Solution

The fourth proportional to 8,145.60, 12,219.76 and 2,952.80 is: 4,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.60 : 12,219.76 = 2,952.80 : x
  2. Step 2: Convert to fraction form
    8,145.60/12,219.76 = 2,952.80/x
  3. Step 3: Cross multiply
    8,145.60x = 12,219.76 × 2,952.80
  4. Step 4: Simplify right side
    8,145.60x = 36,082,507.33
  5. Step 5: Solve for x
    x = 36,082,507.33/8,145.60
  6. Step 6: Final answer
    x = 4,429.69

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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.