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Finding the Fourth Proportional to 11,767.12, 17,641.42 and 8,058.12

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Solution

The fourth proportional to 11,767.12, 17,641.42 and 8,058.12 is: 12,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.12 : 17,641.42 = 8,058.12 : x
  2. Step 2: Convert to fraction form
    11,767.12/17,641.42 = 8,058.12/x
  3. Step 3: Cross multiply
    11,767.12x = 17,641.42 × 8,058.12
  4. Step 4: Simplify right side
    11,767.12x = 142,156,679.33
  5. Step 5: Solve for x
    x = 142,156,679.33/11,767.12
  6. Step 6: Final answer
    x = 12,080.84

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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.