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Finding the Fourth Proportional to 8,047.98, 11,107.53 and 4,512.06

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Solution

The fourth proportional to 8,047.98, 11,107.53 and 4,512.06 is: 6,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.98 : 11,107.53 = 4,512.06 : x
  2. Step 2: Convert to fraction form
    8,047.98/11,107.53 = 4,512.06/x
  3. Step 3: Cross multiply
    8,047.98x = 11,107.53 × 4,512.06
  4. Step 4: Simplify right side
    8,047.98x = 50,117,841.81
  5. Step 5: Solve for x
    x = 50,117,841.81/8,047.98
  6. Step 6: Final answer
    x = 6,227.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.