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Finding the Fourth Proportional to 7,802.72, 11,704.08 and 2,256.86

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Solution

The fourth proportional to 7,802.72, 11,704.08 and 2,256.86 is: 3,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.72 : 11,704.08 = 2,256.86 : x
  2. Step 2: Convert to fraction form
    7,802.72/11,704.08 = 2,256.86/x
  3. Step 3: Cross multiply
    7,802.72x = 11,704.08 × 2,256.86
  4. Step 4: Simplify right side
    7,802.72x = 26,414,469.99
  5. Step 5: Solve for x
    x = 26,414,469.99/7,802.72
  6. Step 6: Final answer
    x = 3,385.29

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Similar ratio
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1.5x scale

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.