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Finding the Fourth Proportional to 10,433.38, 14,398.14 and 5,717.74

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Solution

The fourth proportional to 10,433.38, 14,398.14 and 5,717.74 is: 7,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.38 : 14,398.14 = 5,717.74 : x
  2. Step 2: Convert to fraction form
    10,433.38/14,398.14 = 5,717.74/x
  3. Step 3: Cross multiply
    10,433.38x = 14,398.14 × 5,717.74
  4. Step 4: Simplify right side
    10,433.38x = 82,324,821.00
  5. Step 5: Solve for x
    x = 82,324,821.00/10,433.38
  6. Step 6: Final answer
    x = 7,890.52

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Why These Related Problems?

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