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Finding the Fourth Proportional to 10,367.75, 15,554.06 and 3,442.25

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Solution

The fourth proportional to 10,367.75, 15,554.06 and 3,442.25 is: 5,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.75 : 15,554.06 = 3,442.25 : x
  2. Step 2: Convert to fraction form
    10,367.75/15,554.06 = 3,442.25/x
  3. Step 3: Cross multiply
    10,367.75x = 15,554.06 × 3,442.25
  4. Step 4: Simplify right side
    10,367.75x = 53,540,963.04
  5. Step 5: Solve for x
    x = 53,540,963.04/10,367.75
  6. Step 6: Final answer
    x = 5,164.18

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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.