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Finding the Fourth Proportional to 8,589.60, 11,853.60 and 4,863.36

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Solution

The fourth proportional to 8,589.60, 11,853.60 and 4,863.36 is: 6,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.60 : 11,853.60 = 4,863.36 : x
  2. Step 2: Convert to fraction form
    8,589.60/11,853.60 = 4,863.36/x
  3. Step 3: Cross multiply
    8,589.60x = 11,853.60 × 4,863.36
  4. Step 4: Simplify right side
    8,589.60x = 57,648,324.10
  5. Step 5: Solve for x
    x = 57,648,324.10/8,589.60
  6. Step 6: Final answer
    x = 6,711.41

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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.