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Finding the Fourth Proportional to 11,114.90, 15,338.54 and 6,641.27

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Solution

The fourth proportional to 11,114.90, 15,338.54 and 6,641.27 is: 9,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.90 : 15,338.54 = 6,641.27 : x
  2. Step 2: Convert to fraction form
    11,114.90/15,338.54 = 6,641.27/x
  3. Step 3: Cross multiply
    11,114.90x = 15,338.54 × 6,641.27
  4. Step 4: Simplify right side
    11,114.90x = 101,867,321.16
  5. Step 5: Solve for x
    x = 101,867,321.16/11,114.90
  6. Step 6: Final answer
    x = 9,164.94

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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.