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Finding the Fourth Proportional to 10,306.40, 15,431.90 and 8,479.56

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Solution

The fourth proportional to 10,306.40, 15,431.90 and 8,479.56 is: 12,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.40 : 15,431.90 = 8,479.56 : x
  2. Step 2: Convert to fraction form
    10,306.40/15,431.90 = 8,479.56/x
  3. Step 3: Cross multiply
    10,306.40x = 15,431.90 × 8,479.56
  4. Step 4: Simplify right side
    10,306.40x = 130,855,721.96
  5. Step 5: Solve for x
    x = 130,855,721.96/10,306.40
  6. Step 6: Final answer
    x = 12,696.55

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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.