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Finding the Fourth Proportional to 11,167.65, 16,755.12 and 4,148.28

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Solution

The fourth proportional to 11,167.65, 16,755.12 and 4,148.28 is: 6,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.65 : 16,755.12 = 4,148.28 : x
  2. Step 2: Convert to fraction form
    11,167.65/16,755.12 = 4,148.28/x
  3. Step 3: Cross multiply
    11,167.65x = 16,755.12 × 4,148.28
  4. Step 4: Simplify right side
    11,167.65x = 69,504,929.19
  5. Step 5: Solve for x
    x = 69,504,929.19/11,167.65
  6. Step 6: Final answer
    x = 6,223.77

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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.