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Finding the Fourth Proportional to 10,166.68, 15,251.74 and 3,502.92

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Solution

The fourth proportional to 10,166.68, 15,251.74 and 3,502.92 is: 5,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.68 : 15,251.74 = 3,502.92 : x
  2. Step 2: Convert to fraction form
    10,166.68/15,251.74 = 3,502.92/x
  3. Step 3: Cross multiply
    10,166.68x = 15,251.74 × 3,502.92
  4. Step 4: Simplify right side
    10,166.68x = 53,425,625.08
  5. Step 5: Solve for x
    x = 53,425,625.08/10,166.68
  6. Step 6: Final answer
    x = 5,254.97

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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.