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Finding the Fourth Proportional to 12,346.32, 17,037.94 and 7,041

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Solution

The fourth proportional to 12,346.32, 17,037.94 and 7,041 is: 9,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.32 : 17,037.94 = 7,041 : x
  2. Step 2: Convert to fraction form
    12,346.32/17,037.94 = 7,041/x
  3. Step 3: Cross multiply
    12,346.32x = 17,037.94 × 7,041
  4. Step 4: Simplify right side
    12,346.32x = 119,964,135.54
  5. Step 5: Solve for x
    x = 119,964,135.54/12,346.32
  6. Step 6: Final answer
    x = 9,716.59

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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.