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Finding the Fourth Proportional to 11,599.64, 16,007.42 and 6,294.44

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Solution

The fourth proportional to 11,599.64, 16,007.42 and 6,294.44 is: 8,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.64 : 16,007.42 = 6,294.44 : x
  2. Step 2: Convert to fraction form
    11,599.64/16,007.42 = 6,294.44/x
  3. Step 3: Cross multiply
    11,599.64x = 16,007.42 × 6,294.44
  4. Step 4: Simplify right side
    11,599.64x = 100,757,744.74
  5. Step 5: Solve for x
    x = 100,757,744.74/11,599.64
  6. Step 6: Final answer
    x = 8,686.28

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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.