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Finding the Fourth Proportional to 7,941, 11,910.32 and 2,098.02

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Solution

The fourth proportional to 7,941, 11,910.32 and 2,098.02 is: 3,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941 : 11,910.32 = 2,098.02 : x
  2. Step 2: Convert to fraction form
    7,941/11,910.32 = 2,098.02/x
  3. Step 3: Cross multiply
    7,941x = 11,910.32 × 2,098.02
  4. Step 4: Simplify right side
    7,941x = 24,988,089.57
  5. Step 5: Solve for x
    x = 24,988,089.57/7,941
  6. Step 6: Final answer
    x = 3,146.72

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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.