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Finding the Fourth Proportional to 11,641.40, 17,452.36 and 4,617.03

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Solution

The fourth proportional to 11,641.40, 17,452.36 and 4,617.03 is: 6,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.40 : 17,452.36 = 4,617.03 : x
  2. Step 2: Convert to fraction form
    11,641.40/17,452.36 = 4,617.03/x
  3. Step 3: Cross multiply
    11,641.40x = 17,452.36 × 4,617.03
  4. Step 4: Simplify right side
    11,641.40x = 80,578,058.15
  5. Step 5: Solve for x
    x = 80,578,058.15/11,641.40
  6. Step 6: Final answer
    x = 6,921.68

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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.