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Finding the Fourth Proportional to 8,098.50, 12,161.26 and 7,492.36

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Solution

The fourth proportional to 8,098.50, 12,161.26 and 7,492.36 is: 11,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.50 : 12,161.26 = 7,492.36 : x
  2. Step 2: Convert to fraction form
    8,098.50/12,161.26 = 7,492.36/x
  3. Step 3: Cross multiply
    8,098.50x = 12,161.26 × 7,492.36
  4. Step 4: Simplify right side
    8,098.50x = 91,116,537.97
  5. Step 5: Solve for x
    x = 91,116,537.97/8,098.50
  6. Step 6: Final answer
    x = 11,251.04

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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.