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Finding the Fourth Proportional to 10,231.71, 15,347.57 and 6,768.15

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Solution

The fourth proportional to 10,231.71, 15,347.57 and 6,768.15 is: 10,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.71 : 15,347.57 = 6,768.15 : x
  2. Step 2: Convert to fraction form
    10,231.71/15,347.57 = 6,768.15/x
  3. Step 3: Cross multiply
    10,231.71x = 15,347.57 × 6,768.15
  4. Step 4: Simplify right side
    10,231.71x = 103,874,653.93
  5. Step 5: Solve for x
    x = 103,874,653.93/10,231.71
  6. Step 6: Final answer
    x = 10,152.23

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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.