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Finding the Fourth Proportional to 11,383.62, 15,709.35 and 6,845.59

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Solution

The fourth proportional to 11,383.62, 15,709.35 and 6,845.59 is: 9,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.62 : 15,709.35 = 6,845.59 : x
  2. Step 2: Convert to fraction form
    11,383.62/15,709.35 = 6,845.59/x
  3. Step 3: Cross multiply
    11,383.62x = 15,709.35 × 6,845.59
  4. Step 4: Simplify right side
    11,383.62x = 107,539,769.27
  5. Step 5: Solve for x
    x = 107,539,769.27/11,383.62
  6. Step 6: Final answer
    x = 9,446.89

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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.