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Finding the Fourth Proportional to 8,454.70, 11,660.42 and 6,335.23

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Solution

The fourth proportional to 8,454.70, 11,660.42 and 6,335.23 is: 8,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.70 : 11,660.42 = 6,335.23 : x
  2. Step 2: Convert to fraction form
    8,454.70/11,660.42 = 6,335.23/x
  3. Step 3: Cross multiply
    8,454.70x = 11,660.42 × 6,335.23
  4. Step 4: Simplify right side
    8,454.70x = 73,871,442.60
  5. Step 5: Solve for x
    x = 73,871,442.60/8,454.70
  6. Step 6: Final answer
    x = 8,737.32

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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.