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Finding the Fourth Proportional to 10,134, 15,207.75 and 3,899.16

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Solution

The fourth proportional to 10,134, 15,207.75 and 3,899.16 is: 5,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134 : 15,207.75 = 3,899.16 : x
  2. Step 2: Convert to fraction form
    10,134/15,207.75 = 3,899.16/x
  3. Step 3: Cross multiply
    10,134x = 15,207.75 × 3,899.16
  4. Step 4: Simplify right side
    10,134x = 59,297,450.49
  5. Step 5: Solve for x
    x = 59,297,450.49/10,134
  6. Step 6: Final answer
    x = 5,851.34

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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.