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Finding the Fourth Proportional to 7,203.50, 10,806.33 and 2,587.58

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Solution

The fourth proportional to 7,203.50, 10,806.33 and 2,587.58 is: 3,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.50 : 10,806.33 = 2,587.58 : x
  2. Step 2: Convert to fraction form
    7,203.50/10,806.33 = 2,587.58/x
  3. Step 3: Cross multiply
    7,203.50x = 10,806.33 × 2,587.58
  4. Step 4: Simplify right side
    7,203.50x = 27,962,243.38
  5. Step 5: Solve for x
    x = 27,962,243.38/7,203.50
  6. Step 6: Final answer
    x = 3,881.76

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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.