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Finding the Fourth Proportional to 27,281.25, 40,921.92 and 7,559.86

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Solution

The fourth proportional to 27,281.25, 40,921.92 and 7,559.86 is: 11,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,281.25 : 40,921.92 = 7,559.86 : x
  2. Step 2: Convert to fraction form
    27,281.25/40,921.92 = 7,559.86/x
  3. Step 3: Cross multiply
    27,281.25x = 40,921.92 × 7,559.86
  4. Step 4: Simplify right side
    27,281.25x = 309,363,986.13
  5. Step 5: Solve for x
    x = 309,363,986.13/27,281.25
  6. Step 6: Final answer
    x = 11,339.80

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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.