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Finding the Fourth Proportional to 11,744.97, 17,580.01 and 6,535.05

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Solution

The fourth proportional to 11,744.97, 17,580.01 and 6,535.05 is: 9,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.97 : 17,580.01 = 6,535.05 : x
  2. Step 2: Convert to fraction form
    11,744.97/17,580.01 = 6,535.05/x
  3. Step 3: Cross multiply
    11,744.97x = 17,580.01 × 6,535.05
  4. Step 4: Simplify right side
    11,744.97x = 114,886,244.35
  5. Step 5: Solve for x
    x = 114,886,244.35/11,744.97
  6. Step 6: Final answer
    x = 9,781.74

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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.