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Finding the Fourth Proportional to 7,537.92, 11,307.41 and 1,991.20

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Solution

The fourth proportional to 7,537.92, 11,307.41 and 1,991.20 is: 2,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.92 : 11,307.41 = 1,991.20 : x
  2. Step 2: Convert to fraction form
    7,537.92/11,307.41 = 1,991.20/x
  3. Step 3: Cross multiply
    7,537.92x = 11,307.41 × 1,991.20
  4. Step 4: Simplify right side
    7,537.92x = 22,515,314.79
  5. Step 5: Solve for x
    x = 22,515,314.79/7,537.92
  6. Step 6: Final answer
    x = 2,986.94

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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.