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Finding the Fourth Proportional to 7,991.10, 11,927.49 and 7,498.62

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Solution

The fourth proportional to 7,991.10, 11,927.49 and 7,498.62 is: 11,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991.10 : 11,927.49 = 7,498.62 : x
  2. Step 2: Convert to fraction form
    7,991.10/11,927.49 = 7,498.62/x
  3. Step 3: Cross multiply
    7,991.10x = 11,927.49 × 7,498.62
  4. Step 4: Simplify right side
    7,991.10x = 89,439,715.06
  5. Step 5: Solve for x
    x = 89,439,715.06/7,991.10
  6. Step 6: Final answer
    x = 11,192.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.