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Finding the Fourth Proportional to 11,750.64, 17,626.67 and 3,854.01

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Solution

The fourth proportional to 11,750.64, 17,626.67 and 3,854.01 is: 5,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.64 : 17,626.67 = 3,854.01 : x
  2. Step 2: Convert to fraction form
    11,750.64/17,626.67 = 3,854.01/x
  3. Step 3: Cross multiply
    11,750.64x = 17,626.67 × 3,854.01
  4. Step 4: Simplify right side
    11,750.64x = 67,933,343.18
  5. Step 5: Solve for x
    x = 67,933,343.18/11,750.64
  6. Step 6: Final answer
    x = 5,781.25

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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.