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Finding the Fourth Proportional to 8,322, 11,484.36 and 4,596

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Solution

The fourth proportional to 8,322, 11,484.36 and 4,596 is: 6,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322 : 11,484.36 = 4,596 : x
  2. Step 2: Convert to fraction form
    8,322/11,484.36 = 4,596/x
  3. Step 3: Cross multiply
    8,322x = 11,484.36 × 4,596
  4. Step 4: Simplify right side
    8,322x = 52,782,118.56
  5. Step 5: Solve for x
    x = 52,782,118.56/8,322
  6. Step 6: Final answer
    x = 6,342.48

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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.