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Finding the Fourth Proportional to 11,010.70, 15,194.72 and 6,538.13

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Solution

The fourth proportional to 11,010.70, 15,194.72 and 6,538.13 is: 9,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,010.70 : 15,194.72 = 6,538.13 : x
  2. Step 2: Convert to fraction form
    11,010.70/15,194.72 = 6,538.13/x
  3. Step 3: Cross multiply
    11,010.70x = 15,194.72 × 6,538.13
  4. Step 4: Simplify right side
    11,010.70x = 99,344,995.05
  5. Step 5: Solve for x
    x = 99,344,995.05/11,010.70
  6. Step 6: Final answer
    x = 9,022.59

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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.