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Finding the Fourth Proportional to 10,463.40, 14,439.33 and 5,747.68

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Solution

The fourth proportional to 10,463.40, 14,439.33 and 5,747.68 is: 7,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.40 : 14,439.33 = 5,747.68 : x
  2. Step 2: Convert to fraction form
    10,463.40/14,439.33 = 5,747.68/x
  3. Step 3: Cross multiply
    10,463.40x = 14,439.33 × 5,747.68
  4. Step 4: Simplify right side
    10,463.40x = 82,992,648.25
  5. Step 5: Solve for x
    x = 82,992,648.25/10,463.40
  6. Step 6: Final answer
    x = 7,931.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.