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Finding the Fourth Proportional to 10,115, 15,175.06 and 2,819

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Solution

The fourth proportional to 10,115, 15,175.06 and 2,819 is: 4,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115 : 15,175.06 = 2,819 : x
  2. Step 2: Convert to fraction form
    10,115/15,175.06 = 2,819/x
  3. Step 3: Cross multiply
    10,115x = 15,175.06 × 2,819
  4. Step 4: Simplify right side
    10,115x = 42,778,494.14
  5. Step 5: Solve for x
    x = 42,778,494.14/10,115
  6. Step 6: Final answer
    x = 4,229.21

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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.