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Finding the Fourth Proportional to 8,680.02, 11,980.38 and 5,096.58

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Solution

The fourth proportional to 8,680.02, 11,980.38 and 5,096.58 is: 7,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.02 : 11,980.38 = 5,096.58 : x
  2. Step 2: Convert to fraction form
    8,680.02/11,980.38 = 5,096.58/x
  3. Step 3: Cross multiply
    8,680.02x = 11,980.38 × 5,096.58
  4. Step 4: Simplify right side
    8,680.02x = 61,058,965.10
  5. Step 5: Solve for x
    x = 61,058,965.10/8,680.02
  6. Step 6: Final answer
    x = 7,034.43

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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.