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Finding the Fourth Proportional to 10,228.67, 15,343.19 and 3,208.53

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Solution

The fourth proportional to 10,228.67, 15,343.19 and 3,208.53 is: 4,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.67 : 15,343.19 = 3,208.53 : x
  2. Step 2: Convert to fraction form
    10,228.67/15,343.19 = 3,208.53/x
  3. Step 3: Cross multiply
    10,228.67x = 15,343.19 × 3,208.53
  4. Step 4: Simplify right side
    10,228.67x = 49,229,085.41
  5. Step 5: Solve for x
    x = 49,229,085.41/10,228.67
  6. Step 6: Final answer
    x = 4,812.85

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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.