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Finding the Fourth Proportional to 8,322, 11,494.12 and 5,522.64

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Solution

The fourth proportional to 8,322, 11,494.12 and 5,522.64 is: 7,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322 : 11,494.12 = 5,522.64 : x
  2. Step 2: Convert to fraction form
    8,322/11,494.12 = 5,522.64/x
  3. Step 3: Cross multiply
    8,322x = 11,494.12 × 5,522.64
  4. Step 4: Simplify right side
    8,322x = 63,477,886.88
  5. Step 5: Solve for x
    x = 63,477,886.88/8,322
  6. Step 6: Final answer
    x = 7,627.72

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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.