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Finding the Fourth Proportional to 10,114.48, 15,172.68 and 3,455.68

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Solution

The fourth proportional to 10,114.48, 15,172.68 and 3,455.68 is: 5,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.48 : 15,172.68 = 3,455.68 : x
  2. Step 2: Convert to fraction form
    10,114.48/15,172.68 = 3,455.68/x
  3. Step 3: Cross multiply
    10,114.48x = 15,172.68 × 3,455.68
  4. Step 4: Simplify right side
    10,114.48x = 52,431,926.82
  5. Step 5: Solve for x
    x = 52,431,926.82/10,114.48
  6. Step 6: Final answer
    x = 5,183.85

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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.