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Finding the Fourth Proportional to 27,911.10, 41,866.65 and 7,134.60

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Solution

The fourth proportional to 27,911.10, 41,866.65 and 7,134.60 is: 10,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.10 : 41,866.65 = 7,134.60 : x
  2. Step 2: Convert to fraction form
    27,911.10/41,866.65 = 7,134.60/x
  3. Step 3: Cross multiply
    27,911.10x = 41,866.65 × 7,134.60
  4. Step 4: Simplify right side
    27,911.10x = 298,701,801.09
  5. Step 5: Solve for x
    x = 298,701,801.09/27,911.10
  6. Step 6: Final answer
    x = 10,701.90

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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.