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Finding the Fourth Proportional to 8,271.17, 11,414.28 and 4,494.35

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Solution

The fourth proportional to 8,271.17, 11,414.28 and 4,494.35 is: 6,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.17 : 11,414.28 = 4,494.35 : x
  2. Step 2: Convert to fraction form
    8,271.17/11,414.28 = 4,494.35/x
  3. Step 3: Cross multiply
    8,271.17x = 11,414.28 × 4,494.35
  4. Step 4: Simplify right side
    8,271.17x = 51,299,769.32
  5. Step 5: Solve for x
    x = 51,299,769.32/8,271.17
  6. Step 6: Final answer
    x = 6,202.24

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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.