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Finding the Fourth Proportional to 11,638.88, 17,427.33 and 7,948.32

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Solution

The fourth proportional to 11,638.88, 17,427.33 and 7,948.32 is: 11,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.88 : 17,427.33 = 7,948.32 : x
  2. Step 2: Convert to fraction form
    11,638.88/17,427.33 = 7,948.32/x
  3. Step 3: Cross multiply
    11,638.88x = 17,427.33 × 7,948.32
  4. Step 4: Simplify right side
    11,638.88x = 138,517,995.59
  5. Step 5: Solve for x
    x = 138,517,995.59/11,638.88
  6. Step 6: Final answer
    x = 11,901.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.