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Finding the Fourth Proportional to 8,000.93, 11,040.41 and 5,638.97

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Solution

The fourth proportional to 8,000.93, 11,040.41 and 5,638.97 is: 7,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.93 : 11,040.41 = 5,638.97 : x
  2. Step 2: Convert to fraction form
    8,000.93/11,040.41 = 5,638.97/x
  3. Step 3: Cross multiply
    8,000.93x = 11,040.41 × 5,638.97
  4. Step 4: Simplify right side
    8,000.93x = 62,256,457.38
  5. Step 5: Solve for x
    x = 62,256,457.38/8,000.93
  6. Step 6: Final answer
    x = 7,781.16

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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.