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Finding the Fourth Proportional to 10,199.44, 15,297.19 and 3,179.53

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Solution

The fourth proportional to 10,199.44, 15,297.19 and 3,179.53 is: 4,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.44 : 15,297.19 = 3,179.53 : x
  2. Step 2: Convert to fraction form
    10,199.44/15,297.19 = 3,179.53/x
  3. Step 3: Cross multiply
    10,199.44x = 15,297.19 × 3,179.53
  4. Step 4: Simplify right side
    10,199.44x = 48,637,874.52
  5. Step 5: Solve for x
    x = 48,637,874.52/10,199.44
  6. Step 6: Final answer
    x = 4,768.68

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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.