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Finding the Fourth Proportional to 8,380.11, 11,564.08 and 5,728.17

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Solution

The fourth proportional to 8,380.11, 11,564.08 and 5,728.17 is: 7,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.11 : 11,564.08 = 5,728.17 : x
  2. Step 2: Convert to fraction form
    8,380.11/11,564.08 = 5,728.17/x
  3. Step 3: Cross multiply
    8,380.11x = 11,564.08 × 5,728.17
  4. Step 4: Simplify right side
    8,380.11x = 66,241,016.13
  5. Step 5: Solve for x
    x = 66,241,016.13/8,380.11
  6. Step 6: Final answer
    x = 7,904.55

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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.