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Finding the Fourth Proportional to 10,463.38, 15,697.33 and 3,443.99

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Solution

The fourth proportional to 10,463.38, 15,697.33 and 3,443.99 is: 5,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.38 : 15,697.33 = 3,443.99 : x
  2. Step 2: Convert to fraction form
    10,463.38/15,697.33 = 3,443.99/x
  3. Step 3: Cross multiply
    10,463.38x = 15,697.33 × 3,443.99
  4. Step 4: Simplify right side
    10,463.38x = 54,061,360.45
  5. Step 5: Solve for x
    x = 54,061,360.45/10,463.38
  6. Step 6: Final answer
    x = 5,166.72

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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.