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Finding the Fourth Proportional to 11,417.16, 15,755.22 and 6,381.30

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Solution

The fourth proportional to 11,417.16, 15,755.22 and 6,381.30 is: 8,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.16 : 15,755.22 = 6,381.30 : x
  2. Step 2: Convert to fraction form
    11,417.16/15,755.22 = 6,381.30/x
  3. Step 3: Cross multiply
    11,417.16x = 15,755.22 × 6,381.30
  4. Step 4: Simplify right side
    11,417.16x = 100,538,785.39
  5. Step 5: Solve for x
    x = 100,538,785.39/11,417.16
  6. Step 6: Final answer
    x = 8,805.94

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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.