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Finding the Fourth Proportional to 11,642.85, 17,454.33 and 5,064.03

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Solution

The fourth proportional to 11,642.85, 17,454.33 and 5,064.03 is: 7,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.85 : 17,454.33 = 5,064.03 : x
  2. Step 2: Convert to fraction form
    11,642.85/17,454.33 = 5,064.03/x
  3. Step 3: Cross multiply
    11,642.85x = 17,454.33 × 5,064.03
  4. Step 4: Simplify right side
    11,642.85x = 88,389,250.75
  5. Step 5: Solve for x
    x = 88,389,250.75/11,642.85
  6. Step 6: Final answer
    x = 7,591.72

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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.