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Finding the Fourth Proportional to 27,788.53, 41,686.89 and 8,064.52

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Solution

The fourth proportional to 27,788.53, 41,686.89 and 8,064.52 is: 12,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788.53 : 41,686.89 = 8,064.52 : x
  2. Step 2: Convert to fraction form
    27,788.53/41,686.89 = 8,064.52/x
  3. Step 3: Cross multiply
    27,788.53x = 41,686.89 × 8,064.52
  4. Step 4: Simplify right side
    27,788.53x = 336,184,758.14
  5. Step 5: Solve for x
    x = 336,184,758.14/27,788.53
  6. Step 6: Final answer
    x = 12,097.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.