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Finding the Fourth Proportional to 10,227.94, 15,306.63 and 6,478.18

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Solution

The fourth proportional to 10,227.94, 15,306.63 and 6,478.18 is: 9,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.94 : 15,306.63 = 6,478.18 : x
  2. Step 2: Convert to fraction form
    10,227.94/15,306.63 = 6,478.18/x
  3. Step 3: Cross multiply
    10,227.94x = 15,306.63 × 6,478.18
  4. Step 4: Simplify right side
    10,227.94x = 99,159,104.33
  5. Step 5: Solve for x
    x = 99,159,104.33/10,227.94
  6. Step 6: Final answer
    x = 9,694.92

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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.