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Finding the Fourth Proportional to 11,434.60, 17,153.16 and 3,641.62

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Solution

The fourth proportional to 11,434.60, 17,153.16 and 3,641.62 is: 5,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.60 : 17,153.16 = 3,641.62 : x
  2. Step 2: Convert to fraction form
    11,434.60/17,153.16 = 3,641.62/x
  3. Step 3: Cross multiply
    11,434.60x = 17,153.16 × 3,641.62
  4. Step 4: Simplify right side
    11,434.60x = 62,465,290.52
  5. Step 5: Solve for x
    x = 62,465,290.52/11,434.60
  6. Step 6: Final answer
    x = 5,462.83

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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.