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Finding the Fourth Proportional to 12,502.12, 18,753.20 and 5,106.58

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Solution

The fourth proportional to 12,502.12, 18,753.20 and 5,106.58 is: 7,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.12 : 18,753.20 = 5,106.58 : x
  2. Step 2: Convert to fraction form
    12,502.12/18,753.20 = 5,106.58/x
  3. Step 3: Cross multiply
    12,502.12x = 18,753.20 × 5,106.58
  4. Step 4: Simplify right side
    12,502.12x = 95,764,716.06
  5. Step 5: Solve for x
    x = 95,764,716.06/12,502.12
  6. Step 6: Final answer
    x = 7,659.88

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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.