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Finding the Fourth Proportional to 11,548.89, 15,939.95 and 7,297.26

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Solution

The fourth proportional to 11,548.89, 15,939.95 and 7,297.26 is: 10,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.89 : 15,939.95 = 7,297.26 : x
  2. Step 2: Convert to fraction form
    11,548.89/15,939.95 = 7,297.26/x
  3. Step 3: Cross multiply
    11,548.89x = 15,939.95 × 7,297.26
  4. Step 4: Simplify right side
    11,548.89x = 116,317,890.64
  5. Step 5: Solve for x
    x = 116,317,890.64/11,548.89
  6. Step 6: Final answer
    x = 10,071.78

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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.