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Finding the Fourth Proportional to 7,691.19, 11,537.90 and 2,424.42

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Solution

The fourth proportional to 7,691.19, 11,537.90 and 2,424.42 is: 3,636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.19 : 11,537.90 = 2,424.42 : x
  2. Step 2: Convert to fraction form
    7,691.19/11,537.90 = 2,424.42/x
  3. Step 3: Cross multiply
    7,691.19x = 11,537.90 × 2,424.42
  4. Step 4: Simplify right side
    7,691.19x = 27,972,703.40
  5. Step 5: Solve for x
    x = 27,972,703.40/7,691.19
  6. Step 6: Final answer
    x = 3,636.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.