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Finding the Fourth Proportional to 8,146.74, 11,247.56 and 6,254.72

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Solution

The fourth proportional to 8,146.74, 11,247.56 and 6,254.72 is: 8,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.74 : 11,247.56 = 6,254.72 : x
  2. Step 2: Convert to fraction form
    8,146.74/11,247.56 = 6,254.72/x
  3. Step 3: Cross multiply
    8,146.74x = 11,247.56 × 6,254.72
  4. Step 4: Simplify right side
    8,146.74x = 70,350,338.48
  5. Step 5: Solve for x
    x = 70,350,338.48/8,146.74
  6. Step 6: Final answer
    x = 8,635.40

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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.