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Finding the Fourth Proportional to 10,149.67, 15,226.68 and 4,306.15

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Solution

The fourth proportional to 10,149.67, 15,226.68 and 4,306.15 is: 6,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.67 : 15,226.68 = 4,306.15 : x
  2. Step 2: Convert to fraction form
    10,149.67/15,226.68 = 4,306.15/x
  3. Step 3: Cross multiply
    10,149.67x = 15,226.68 × 4,306.15
  4. Step 4: Simplify right side
    10,149.67x = 65,568,368.08
  5. Step 5: Solve for x
    x = 65,568,368.08/10,149.67
  6. Step 6: Final answer
    x = 6,460.15

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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.