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Finding the Fourth Proportional to 11,599.08, 16,007.25 and 7,121.94

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Solution

The fourth proportional to 11,599.08, 16,007.25 and 7,121.94 is: 9,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.08 : 16,007.25 = 7,121.94 : x
  2. Step 2: Convert to fraction form
    11,599.08/16,007.25 = 7,121.94/x
  3. Step 3: Cross multiply
    11,599.08x = 16,007.25 × 7,121.94
  4. Step 4: Simplify right side
    11,599.08x = 114,002,674.07
  5. Step 5: Solve for x
    x = 114,002,674.07/11,599.08
  6. Step 6: Final answer
    x = 9,828.60

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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.