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Finding the Fourth Proportional to 11,599.71, 16,007.67 and 6,294.48

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Solution

The fourth proportional to 11,599.71, 16,007.67 and 6,294.48 is: 8,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.71 : 16,007.67 = 6,294.48 : x
  2. Step 2: Convert to fraction form
    11,599.71/16,007.67 = 6,294.48/x
  3. Step 3: Cross multiply
    11,599.71x = 16,007.67 × 6,294.48
  4. Step 4: Simplify right side
    11,599.71x = 100,759,958.66
  5. Step 5: Solve for x
    x = 100,759,958.66/11,599.71
  6. Step 6: Final answer
    x = 8,686.42

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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.