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Finding the Fourth Proportional to 10,102.09, 15,156.22 and 5,175.21

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Solution

The fourth proportional to 10,102.09, 15,156.22 and 5,175.21 is: 7,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.09 : 15,156.22 = 5,175.21 : x
  2. Step 2: Convert to fraction form
    10,102.09/15,156.22 = 5,175.21/x
  3. Step 3: Cross multiply
    10,102.09x = 15,156.22 × 5,175.21
  4. Step 4: Simplify right side
    10,102.09x = 78,436,621.31
  5. Step 5: Solve for x
    x = 78,436,621.31/10,102.09
  6. Step 6: Final answer
    x = 7,764.40

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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.