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Finding the Fourth Proportional to 11,048.31, 15,250.95 and 7,071.57

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Solution

The fourth proportional to 11,048.31, 15,250.95 and 7,071.57 is: 9,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.31 : 15,250.95 = 7,071.57 : x
  2. Step 2: Convert to fraction form
    11,048.31/15,250.95 = 7,071.57/x
  3. Step 3: Cross multiply
    11,048.31x = 15,250.95 × 7,071.57
  4. Step 4: Simplify right side
    11,048.31x = 107,848,160.49
  5. Step 5: Solve for x
    x = 107,848,160.49/11,048.31
  6. Step 6: Final answer
    x = 9,761.51

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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.