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Finding the Fourth Proportional to 8,338.68, 11,507.22 and 4,612.68

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Solution

The fourth proportional to 8,338.68, 11,507.22 and 4,612.68 is: 6,365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.68 : 11,507.22 = 4,612.68 : x
  2. Step 2: Convert to fraction form
    8,338.68/11,507.22 = 4,612.68/x
  3. Step 3: Cross multiply
    8,338.68x = 11,507.22 × 4,612.68
  4. Step 4: Simplify right side
    8,338.68x = 53,079,123.55
  5. Step 5: Solve for x
    x = 53,079,123.55/8,338.68
  6. Step 6: Final answer
    x = 6,365.41

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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.