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Finding the Fourth Proportional to 10,209.38, 15,314.07 and 3,283.88

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Solution

The fourth proportional to 10,209.38, 15,314.07 and 3,283.88 is: 4,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.38 : 15,314.07 = 3,283.88 : x
  2. Step 2: Convert to fraction form
    10,209.38/15,314.07 = 3,283.88/x
  3. Step 3: Cross multiply
    10,209.38x = 15,314.07 × 3,283.88
  4. Step 4: Simplify right side
    10,209.38x = 50,289,491.62
  5. Step 5: Solve for x
    x = 50,289,491.62/10,209.38
  6. Step 6: Final answer
    x = 4,925.81

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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.