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Finding the Fourth Proportional to 10,292.78, 15,438.55 and 6,344.79

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Solution

The fourth proportional to 10,292.78, 15,438.55 and 6,344.79 is: 9,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.78 : 15,438.55 = 6,344.79 : x
  2. Step 2: Convert to fraction form
    10,292.78/15,438.55 = 6,344.79/x
  3. Step 3: Cross multiply
    10,292.78x = 15,438.55 × 6,344.79
  4. Step 4: Simplify right side
    10,292.78x = 97,954,357.65
  5. Step 5: Solve for x
    x = 97,954,357.65/10,292.78
  6. Step 6: Final answer
    x = 9,516.80

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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.