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Finding the Fourth Proportional to 8,738.76, 12,060.74 and 5,201.88

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Solution

The fourth proportional to 8,738.76, 12,060.74 and 5,201.88 is: 7,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.76 : 12,060.74 = 5,201.88 : x
  2. Step 2: Convert to fraction form
    8,738.76/12,060.74 = 5,201.88/x
  3. Step 3: Cross multiply
    8,738.76x = 12,060.74 × 5,201.88
  4. Step 4: Simplify right side
    8,738.76x = 62,738,522.19
  5. Step 5: Solve for x
    x = 62,738,522.19/8,738.76
  6. Step 6: Final answer
    x = 7,179.34

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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.