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Finding the Fourth Proportional to 11,385.12, 17,058.24 and 6,181.68

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Solution

The fourth proportional to 11,385.12, 17,058.24 and 6,181.68 is: 9,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.12 : 17,058.24 = 6,181.68 : x
  2. Step 2: Convert to fraction form
    11,385.12/17,058.24 = 6,181.68/x
  3. Step 3: Cross multiply
    11,385.12x = 17,058.24 × 6,181.68
  4. Step 4: Simplify right side
    11,385.12x = 105,448,581.04
  5. Step 5: Solve for x
    x = 105,448,581.04/11,385.12
  6. Step 6: Final answer
    x = 9,261.96

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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.