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Finding the Fourth Proportional to 8,585.76, 11,846.34 and 6,223.80

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Solution

The fourth proportional to 8,585.76, 11,846.34 and 6,223.80 is: 8,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.76 : 11,846.34 = 6,223.80 : x
  2. Step 2: Convert to fraction form
    8,585.76/11,846.34 = 6,223.80/x
  3. Step 3: Cross multiply
    8,585.76x = 11,846.34 × 6,223.80
  4. Step 4: Simplify right side
    8,585.76x = 73,729,250.89
  5. Step 5: Solve for x
    x = 73,729,250.89/8,585.76
  6. Step 6: Final answer
    x = 8,587.39

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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.