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Finding the Fourth Proportional to 11,749.38, 16,209.72 and 7,500.60

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Solution

The fourth proportional to 11,749.38, 16,209.72 and 7,500.60 is: 10,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.38 : 16,209.72 = 7,500.60 : x
  2. Step 2: Convert to fraction form
    11,749.38/16,209.72 = 7,500.60/x
  3. Step 3: Cross multiply
    11,749.38x = 16,209.72 × 7,500.60
  4. Step 4: Simplify right side
    11,749.38x = 121,582,625.83
  5. Step 5: Solve for x
    x = 121,582,625.83/11,749.38
  6. Step 6: Final answer
    x = 10,348.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.