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Finding the Fourth Proportional to 7,732.78, 11,600.97 and 2,538.34

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Solution

The fourth proportional to 7,732.78, 11,600.97 and 2,538.34 is: 3,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.78 : 11,600.97 = 2,538.34 : x
  2. Step 2: Convert to fraction form
    7,732.78/11,600.97 = 2,538.34/x
  3. Step 3: Cross multiply
    7,732.78x = 11,600.97 × 2,538.34
  4. Step 4: Simplify right side
    7,732.78x = 29,447,206.19
  5. Step 5: Solve for x
    x = 29,447,206.19/7,732.78
  6. Step 6: Final answer
    x = 3,808.10

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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.