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Finding the Fourth Proportional to 7,551.97, 11,327.08 and 2,005.75

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Solution

The fourth proportional to 7,551.97, 11,327.08 and 2,005.75 is: 3,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.97 : 11,327.08 = 2,005.75 : x
  2. Step 2: Convert to fraction form
    7,551.97/11,327.08 = 2,005.75/x
  3. Step 3: Cross multiply
    7,551.97x = 11,327.08 × 2,005.75
  4. Step 4: Simplify right side
    7,551.97x = 22,719,224.05
  5. Step 5: Solve for x
    x = 22,719,224.05/7,551.97
  6. Step 6: Final answer
    x = 3,008.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.