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Finding the Fourth Proportional to 11,013.88, 15,194.24 and 6,537.82

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Solution

The fourth proportional to 11,013.88, 15,194.24 and 6,537.82 is: 9,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.88 : 15,194.24 = 6,537.82 : x
  2. Step 2: Convert to fraction form
    11,013.88/15,194.24 = 6,537.82/x
  3. Step 3: Cross multiply
    11,013.88x = 15,194.24 × 6,537.82
  4. Step 4: Simplify right side
    11,013.88x = 99,337,206.16
  5. Step 5: Solve for x
    x = 99,337,206.16/11,013.88
  6. Step 6: Final answer
    x = 9,019.27

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