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Finding the Fourth Proportional to 7,732.13, 11,598.26 and 2,538

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Solution

The fourth proportional to 7,732.13, 11,598.26 and 2,538 is: 3,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.13 : 11,598.26 = 2,538 : x
  2. Step 2: Convert to fraction form
    7,732.13/11,598.26 = 2,538/x
  3. Step 3: Cross multiply
    7,732.13x = 11,598.26 × 2,538
  4. Step 4: Simplify right side
    7,732.13x = 29,436,371.19
  5. Step 5: Solve for x
    x = 29,436,371.19/7,732.13
  6. Step 6: Final answer
    x = 3,807.02

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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.