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Finding the Fourth Proportional to 7,677.74, 11,511.55 and 2,998.27

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Solution

The fourth proportional to 7,677.74, 11,511.55 and 2,998.27 is: 4,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.74 : 11,511.55 = 2,998.27 : x
  2. Step 2: Convert to fraction form
    7,677.74/11,511.55 = 2,998.27/x
  3. Step 3: Cross multiply
    7,677.74x = 11,511.55 × 2,998.27
  4. Step 4: Simplify right side
    7,677.74x = 34,514,753.16
  5. Step 5: Solve for x
    x = 34,514,753.16/7,677.74
  6. Step 6: Final answer
    x = 4,495.43

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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.