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Finding the Fourth Proportional to 10,225.74, 15,328.89 and 6,517.56

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Solution

The fourth proportional to 10,225.74, 15,328.89 and 6,517.56 is: 9,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.74 : 15,328.89 = 6,517.56 : x
  2. Step 2: Convert to fraction form
    10,225.74/15,328.89 = 6,517.56/x
  3. Step 3: Cross multiply
    10,225.74x = 15,328.89 × 6,517.56
  4. Step 4: Simplify right side
    10,225.74x = 99,906,960.31
  5. Step 5: Solve for x
    x = 99,906,960.31/10,225.74
  6. Step 6: Final answer
    x = 9,770.14

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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.