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Finding the Fourth Proportional to 11,565.93, 17,348.09 and 3,245.61

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Solution

The fourth proportional to 11,565.93, 17,348.09 and 3,245.61 is: 4,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.93 : 17,348.09 = 3,245.61 : x
  2. Step 2: Convert to fraction form
    11,565.93/17,348.09 = 3,245.61/x
  3. Step 3: Cross multiply
    11,565.93x = 17,348.09 × 3,245.61
  4. Step 4: Simplify right side
    11,565.93x = 56,305,118.16
  5. Step 5: Solve for x
    x = 56,305,118.16/11,565.93
  6. Step 6: Final answer
    x = 4,868.19

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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.