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Finding the Fourth Proportional to 8,243.67, 12,365.50 and 4,088.83

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Solution

The fourth proportional to 8,243.67, 12,365.50 and 4,088.83 is: 6,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.67 : 12,365.50 = 4,088.83 : x
  2. Step 2: Convert to fraction form
    8,243.67/12,365.50 = 4,088.83/x
  3. Step 3: Cross multiply
    8,243.67x = 12,365.50 × 4,088.83
  4. Step 4: Simplify right side
    8,243.67x = 50,560,365.54
  5. Step 5: Solve for x
    x = 50,560,365.54/8,243.67
  6. Step 6: Final answer
    x = 6,133.24

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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.