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Finding the Fourth Proportional to 11,638.71, 17,465.36 and 7,947.54

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Solution

The fourth proportional to 11,638.71, 17,465.36 and 7,947.54 is: 11,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.71 : 17,465.36 = 7,947.54 : x
  2. Step 2: Convert to fraction form
    11,638.71/17,465.36 = 7,947.54/x
  3. Step 3: Cross multiply
    11,638.71x = 17,465.36 × 7,947.54
  4. Step 4: Simplify right side
    11,638.71x = 138,806,607.48
  5. Step 5: Solve for x
    x = 138,806,607.48/11,638.71
  6. Step 6: Final answer
    x = 11,926.29

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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.