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Finding the Fourth Proportional to 7,732.56, 11,597.64 and 2,538.40

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Solution

The fourth proportional to 7,732.56, 11,597.64 and 2,538.40 is: 3,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.56 : 11,597.64 = 2,538.40 : x
  2. Step 2: Convert to fraction form
    7,732.56/11,597.64 = 2,538.40/x
  3. Step 3: Cross multiply
    7,732.56x = 11,597.64 × 2,538.40
  4. Step 4: Simplify right side
    7,732.56x = 29,439,449.38
  5. Step 5: Solve for x
    x = 29,439,449.38/7,732.56
  6. Step 6: Final answer
    x = 3,807.21

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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.