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Finding the Fourth Proportional to 27,785.58, 41,684.87 and 8,064.51

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Solution

The fourth proportional to 27,785.58, 41,684.87 and 8,064.51 is: 12,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.58 : 41,684.87 = 8,064.51 : x
  2. Step 2: Convert to fraction form
    27,785.58/41,684.87 = 8,064.51/x
  3. Step 3: Cross multiply
    27,785.58x = 41,684.87 × 8,064.51
  4. Step 4: Simplify right side
    27,785.58x = 336,168,050.96
  5. Step 5: Solve for x
    x = 336,168,050.96/27,785.58
  6. Step 6: Final answer
    x = 12,098.65

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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.