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Finding the Fourth Proportional to 13,051, 18,010.38 and 7,462.12

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Solution

The fourth proportional to 13,051, 18,010.38 and 7,462.12 is: 10,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051 : 18,010.38 = 7,462.12 : x
  2. Step 2: Convert to fraction form
    13,051/18,010.38 = 7,462.12/x
  3. Step 3: Cross multiply
    13,051x = 18,010.38 × 7,462.12
  4. Step 4: Simplify right side
    13,051x = 134,395,616.81
  5. Step 5: Solve for x
    x = 134,395,616.81/13,051
  6. Step 6: Final answer
    x = 10,297.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.