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Finding the Fourth Proportional to 7,382.60, 10,189.02 and 4,238.24

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Solution

The fourth proportional to 7,382.60, 10,189.02 and 4,238.24 is: 5,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.60 : 10,189.02 = 4,238.24 : x
  2. Step 2: Convert to fraction form
    7,382.60/10,189.02 = 4,238.24/x
  3. Step 3: Cross multiply
    7,382.60x = 10,189.02 × 4,238.24
  4. Step 4: Simplify right side
    7,382.60x = 43,183,512.12
  5. Step 5: Solve for x
    x = 43,183,512.12/7,382.60
  6. Step 6: Final answer
    x = 5,849.36

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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.