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Finding the Fourth Proportional to 11,013.66, 15,193.89 and 6,537.60

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Solution

The fourth proportional to 11,013.66, 15,193.89 and 6,537.60 is: 9,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.66 : 15,193.89 = 6,537.60 : x
  2. Step 2: Convert to fraction form
    11,013.66/15,193.89 = 6,537.60/x
  3. Step 3: Cross multiply
    11,013.66x = 15,193.89 × 6,537.60
  4. Step 4: Simplify right side
    11,013.66x = 99,331,575.26
  5. Step 5: Solve for x
    x = 99,331,575.26/11,013.66
  6. Step 6: Final answer
    x = 9,018.94

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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.