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Finding the Fourth Proportional to 27,925.02, 41,886.48 and 6,865.12

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Solution

The fourth proportional to 27,925.02, 41,886.48 and 6,865.12 is: 10,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,925.02 : 41,886.48 = 6,865.12 : x
  2. Step 2: Convert to fraction form
    27,925.02/41,886.48 = 6,865.12/x
  3. Step 3: Cross multiply
    27,925.02x = 41,886.48 × 6,865.12
  4. Step 4: Simplify right side
    27,925.02x = 287,555,789.68
  5. Step 5: Solve for x
    x = 287,555,789.68/27,925.02
  6. Step 6: Final answer
    x = 10,297.42

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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.