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Finding the Fourth Proportional to 8,165.34, 11,264.93 and 5,331.81

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Solution

The fourth proportional to 8,165.34, 11,264.93 and 5,331.81 is: 7,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.34 : 11,264.93 = 5,331.81 : x
  2. Step 2: Convert to fraction form
    8,165.34/11,264.93 = 5,331.81/x
  3. Step 3: Cross multiply
    8,165.34x = 11,264.93 × 5,331.81
  4. Step 4: Simplify right side
    8,165.34x = 60,062,466.42
  5. Step 5: Solve for x
    x = 60,062,466.42/8,165.34
  6. Step 6: Final answer
    x = 7,355.78

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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.