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Finding the Fourth Proportional to 11,017.76, 15,204.36 and 5,982

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Solution

The fourth proportional to 11,017.76, 15,204.36 and 5,982 is: 8,255.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.76 : 15,204.36 = 5,982 : x
  2. Step 2: Convert to fraction form
    11,017.76/15,204.36 = 5,982/x
  3. Step 3: Cross multiply
    11,017.76x = 15,204.36 × 5,982
  4. Step 4: Simplify right side
    11,017.76x = 90,952,481.52
  5. Step 5: Solve for x
    x = 90,952,481.52/11,017.76
  6. Step 6: Final answer
    x = 8,255.08

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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.