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Finding the Fourth Proportional to 27,579.69, 41,357.12 and 7,853.76

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Solution

The fourth proportional to 27,579.69, 41,357.12 and 7,853.76 is: 11,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,579.69 : 41,357.12 = 7,853.76 : x
  2. Step 2: Convert to fraction form
    27,579.69/41,357.12 = 7,853.76/x
  3. Step 3: Cross multiply
    27,579.69x = 41,357.12 × 7,853.76
  4. Step 4: Simplify right side
    27,579.69x = 324,808,855.50
  5. Step 5: Solve for x
    x = 324,808,855.50/27,579.69
  6. Step 6: Final answer
    x = 11,777.10

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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.