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Finding the Fourth Proportional to 10,163.42, 15,245.42 and 2,768.02

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Solution

The fourth proportional to 10,163.42, 15,245.42 and 2,768.02 is: 4,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.42 : 15,245.42 = 2,768.02 : x
  2. Step 2: Convert to fraction form
    10,163.42/15,245.42 = 2,768.02/x
  3. Step 3: Cross multiply
    10,163.42x = 15,245.42 × 2,768.02
  4. Step 4: Simplify right side
    10,163.42x = 42,199,575.51
  5. Step 5: Solve for x
    x = 42,199,575.51/10,163.42
  6. Step 6: Final answer
    x = 4,152.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.