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Finding the Fourth Proportional to 7,203.96, 10,806.36 and 2,009.82

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Solution

The fourth proportional to 7,203.96, 10,806.36 and 2,009.82 is: 3,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.96 : 10,806.36 = 2,009.82 : x
  2. Step 2: Convert to fraction form
    7,203.96/10,806.36 = 2,009.82/x
  3. Step 3: Cross multiply
    7,203.96x = 10,806.36 × 2,009.82
  4. Step 4: Simplify right side
    7,203.96x = 21,718,838.46
  5. Step 5: Solve for x
    x = 21,718,838.46/7,203.96
  6. Step 6: Final answer
    x = 3,014.85

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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.