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Finding the Fourth Proportional to 8,051.36, 12,076.98 and 5,295.44

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Solution

The fourth proportional to 8,051.36, 12,076.98 and 5,295.44 is: 7,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.36 : 12,076.98 = 5,295.44 : x
  2. Step 2: Convert to fraction form
    8,051.36/12,076.98 = 5,295.44/x
  3. Step 3: Cross multiply
    8,051.36x = 12,076.98 × 5,295.44
  4. Step 4: Simplify right side
    8,051.36x = 63,952,922.97
  5. Step 5: Solve for x
    x = 63,952,922.97/8,051.36
  6. Step 6: Final answer
    x = 7,943.12

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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.