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Finding the Fourth Proportional to 8,454.40, 11,665.20 and 5,309.44

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Solution

The fourth proportional to 8,454.40, 11,665.20 and 5,309.44 is: 7,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.40 : 11,665.20 = 5,309.44 : x
  2. Step 2: Convert to fraction form
    8,454.40/11,665.20 = 5,309.44/x
  3. Step 3: Cross multiply
    8,454.40x = 11,665.20 × 5,309.44
  4. Step 4: Simplify right side
    8,454.40x = 61,935,679.49
  5. Step 5: Solve for x
    x = 61,935,679.49/8,454.40
  6. Step 6: Final answer
    x = 7,325.85

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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.