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Finding the Fourth Proportional to 11,182.85, 15,416.45 and 8,894.13

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Solution

The fourth proportional to 11,182.85, 15,416.45 and 8,894.13 is: 12,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.85 : 15,416.45 = 8,894.13 : x
  2. Step 2: Convert to fraction form
    11,182.85/15,416.45 = 8,894.13/x
  3. Step 3: Cross multiply
    11,182.85x = 15,416.45 × 8,894.13
  4. Step 4: Simplify right side
    11,182.85x = 137,115,910.44
  5. Step 5: Solve for x
    x = 137,115,910.44/11,182.85
  6. Step 6: Final answer
    x = 12,261.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.