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Finding the Fourth Proportional to 7,233.50, 10,842.05 and 4,305.66

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Solution

The fourth proportional to 7,233.50, 10,842.05 and 4,305.66 is: 6,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.50 : 10,842.05 = 4,305.66 : x
  2. Step 2: Convert to fraction form
    7,233.50/10,842.05 = 4,305.66/x
  3. Step 3: Cross multiply
    7,233.50x = 10,842.05 × 4,305.66
  4. Step 4: Simplify right side
    7,233.50x = 46,682,151.11
  5. Step 5: Solve for x
    x = 46,682,151.11/7,233.50
  6. Step 6: Final answer
    x = 6,453.60

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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.