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Finding the Fourth Proportional to 11,369.38, 15,689.52 and 6,334.01

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Solution

The fourth proportional to 11,369.38, 15,689.52 and 6,334.01 is: 8,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.38 : 15,689.52 = 6,334.01 : x
  2. Step 2: Convert to fraction form
    11,369.38/15,689.52 = 6,334.01/x
  3. Step 3: Cross multiply
    11,369.38x = 15,689.52 × 6,334.01
  4. Step 4: Simplify right side
    11,369.38x = 99,377,615.80
  5. Step 5: Solve for x
    x = 99,377,615.80/11,369.38
  6. Step 6: Final answer
    x = 8,740.81

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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.