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Finding the Fourth Proportional to 8,322, 12,483.12 and 2,166

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Solution

The fourth proportional to 8,322, 12,483.12 and 2,166 is: 3,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322 : 12,483.12 = 2,166 : x
  2. Step 2: Convert to fraction form
    8,322/12,483.12 = 2,166/x
  3. Step 3: Cross multiply
    8,322x = 12,483.12 × 2,166
  4. Step 4: Simplify right side
    8,322x = 27,038,437.92
  5. Step 5: Solve for x
    x = 27,038,437.92/8,322
  6. Step 6: Final answer
    x = 3,249.03

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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.