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Finding the Fourth Proportional to 11,383.70, 15,691.56 and 8,546.98

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Solution

The fourth proportional to 11,383.70, 15,691.56 and 8,546.98 is: 11,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.70 : 15,691.56 = 8,546.98 : x
  2. Step 2: Convert to fraction form
    11,383.70/15,691.56 = 8,546.98/x
  3. Step 3: Cross multiply
    11,383.70x = 15,691.56 × 8,546.98
  4. Step 4: Simplify right side
    11,383.70x = 134,115,406.75
  5. Step 5: Solve for x
    x = 134,115,406.75/11,383.70
  6. Step 6: Final answer
    x = 11,781.35

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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.