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Finding the Fourth Proportional to 27,778.38, 41,667.59 and 7,001.88

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Solution

The fourth proportional to 27,778.38, 41,667.59 and 7,001.88 is: 10,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.38 : 41,667.59 = 7,001.88 : x
  2. Step 2: Convert to fraction form
    27,778.38/41,667.59 = 7,001.88/x
  3. Step 3: Cross multiply
    27,778.38x = 41,667.59 × 7,001.88
  4. Step 4: Simplify right side
    27,778.38x = 291,751,465.07
  5. Step 5: Solve for x
    x = 291,751,465.07/27,778.38
  6. Step 6: Final answer
    x = 10,502.83

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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.