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Finding the Fourth Proportional to 8,343.76, 11,512.38 and 5,197.72

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Solution

The fourth proportional to 8,343.76, 11,512.38 and 5,197.72 is: 7,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.76 : 11,512.38 = 5,197.72 : x
  2. Step 2: Convert to fraction form
    8,343.76/11,512.38 = 5,197.72/x
  3. Step 3: Cross multiply
    8,343.76x = 11,512.38 × 5,197.72
  4. Step 4: Simplify right side
    8,343.76x = 59,838,127.77
  5. Step 5: Solve for x
    x = 59,838,127.77/8,343.76
  6. Step 6: Final answer
    x = 7,171.60

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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.