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Finding the Fourth Proportional to 8,243.72, 12,364.24 and 2,696.98

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Solution

The fourth proportional to 8,243.72, 12,364.24 and 2,696.98 is: 4,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.72 : 12,364.24 = 2,696.98 : x
  2. Step 2: Convert to fraction form
    8,243.72/12,364.24 = 2,696.98/x
  3. Step 3: Cross multiply
    8,243.72x = 12,364.24 × 2,696.98
  4. Step 4: Simplify right side
    8,243.72x = 33,346,108.00
  5. Step 5: Solve for x
    x = 33,346,108.00/8,243.72
  6. Step 6: Final answer
    x = 4,045.03

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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.