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Finding the Fourth Proportional to 8,362.54, 11,540.22 and 4,585.87

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Solution

The fourth proportional to 8,362.54, 11,540.22 and 4,585.87 is: 6,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.54 : 11,540.22 = 4,585.87 : x
  2. Step 2: Convert to fraction form
    8,362.54/11,540.22 = 4,585.87/x
  3. Step 3: Cross multiply
    8,362.54x = 11,540.22 × 4,585.87
  4. Step 4: Simplify right side
    8,362.54x = 52,921,906.80
  5. Step 5: Solve for x
    x = 52,921,906.80/8,362.54
  6. Step 6: Final answer
    x = 6,328.45

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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.