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Finding the Fourth Proportional to 8,582.22, 12,878.20 and 4,633.43

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Solution

The fourth proportional to 8,582.22, 12,878.20 and 4,633.43 is: 6,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.22 : 12,878.20 = 4,633.43 : x
  2. Step 2: Convert to fraction form
    8,582.22/12,878.20 = 4,633.43/x
  3. Step 3: Cross multiply
    8,582.22x = 12,878.20 × 4,633.43
  4. Step 4: Simplify right side
    8,582.22x = 59,670,227.92
  5. Step 5: Solve for x
    x = 59,670,227.92/8,582.22
  6. Step 6: Final answer
    x = 6,952.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.