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Finding the Fourth Proportional to 8,693.42, 11,998.82 and 5,338.00

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Solution

The fourth proportional to 8,693.42, 11,998.82 and 5,338.00 is: 7,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.42 : 11,998.82 = 5,338.00 : x
  2. Step 2: Convert to fraction form
    8,693.42/11,998.82 = 5,338.00/x
  3. Step 3: Cross multiply
    8,693.42x = 11,998.82 × 5,338.00
  4. Step 4: Simplify right side
    8,693.42x = 64,049,614.48
  5. Step 5: Solve for x
    x = 64,049,614.48/8,693.42
  6. Step 6: Final answer
    x = 7,367.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.