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Finding the Fourth Proportional to 8,256.20, 11,580.55 and 8,256.20

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Solution

The fourth proportional to 8,256.20, 11,580.55 and 8,256.20 is: 11,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.20 : 11,580.55 = 8,256.20 : x
  2. Step 2: Convert to fraction form
    8,256.20/11,580.55 = 8,256.20/x
  3. Step 3: Cross multiply
    8,256.20x = 11,580.55 × 8,256.20
  4. Step 4: Simplify right side
    8,256.20x = 95,611,336.91
  5. Step 5: Solve for x
    x = 95,611,336.91/8,256.20
  6. Step 6: Final answer
    x = 11,580.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.