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Finding the Fourth Proportional to 7,677.32, 11,516.99 and 2,747.52

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Solution

The fourth proportional to 7,677.32, 11,516.99 and 2,747.52 is: 4,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.32 : 11,516.99 = 2,747.52 : x
  2. Step 2: Convert to fraction form
    7,677.32/11,516.99 = 2,747.52/x
  3. Step 3: Cross multiply
    7,677.32x = 11,516.99 × 2,747.52
  4. Step 4: Simplify right side
    7,677.32x = 31,643,146.63
  5. Step 5: Solve for x
    x = 31,643,146.63/7,677.32
  6. Step 6: Final answer
    x = 4,121.64

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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.