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Finding the Fourth Proportional to 8,388, 12,582.24 and 2,232

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Solution

The fourth proportional to 8,388, 12,582.24 and 2,232 is: 3,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388 : 12,582.24 = 2,232 : x
  2. Step 2: Convert to fraction form
    8,388/12,582.24 = 2,232/x
  3. Step 3: Cross multiply
    8,388x = 12,582.24 × 2,232
  4. Step 4: Simplify right side
    8,388x = 28,083,559.68
  5. Step 5: Solve for x
    x = 28,083,559.68/8,388
  6. Step 6: Final answer
    x = 3,348.06

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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.