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Finding the Fourth Proportional to 11,102.57, 16,653.39 and 6,169.07

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Solution

The fourth proportional to 11,102.57, 16,653.39 and 6,169.07 is: 9,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.57 : 16,653.39 = 6,169.07 : x
  2. Step 2: Convert to fraction form
    11,102.57/16,653.39 = 6,169.07/x
  3. Step 3: Cross multiply
    11,102.57x = 16,653.39 × 6,169.07
  4. Step 4: Simplify right side
    11,102.57x = 102,735,928.65
  5. Step 5: Solve for x
    x = 102,735,928.65/11,102.57
  6. Step 6: Final answer
    x = 9,253.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.