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Finding the Fourth Proportional to 7,302, 10,952.83 and 2,371.63

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Solution

The fourth proportional to 7,302, 10,952.83 and 2,371.63 is: 3,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302 : 10,952.83 = 2,371.63 : x
  2. Step 2: Convert to fraction form
    7,302/10,952.83 = 2,371.63/x
  3. Step 3: Cross multiply
    7,302x = 10,952.83 × 2,371.63
  4. Step 4: Simplify right side
    7,302x = 25,976,060.21
  5. Step 5: Solve for x
    x = 25,976,060.21/7,302
  6. Step 6: Final answer
    x = 3,557.39

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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.