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Finding the Fourth Proportional to 10,147.88, 15,208.44 and 4,297.25

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Solution

The fourth proportional to 10,147.88, 15,208.44 and 4,297.25 is: 6,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.88 : 15,208.44 = 4,297.25 : x
  2. Step 2: Convert to fraction form
    10,147.88/15,208.44 = 4,297.25/x
  3. Step 3: Cross multiply
    10,147.88x = 15,208.44 × 4,297.25
  4. Step 4: Simplify right side
    10,147.88x = 65,354,392.75
  5. Step 5: Solve for x
    x = 65,354,392.75/10,147.88
  6. Step 6: Final answer
    x = 6,440.20

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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.