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Finding the Fourth Proportional to 11,267.82, 16,866.30 and 7,737.18

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Solution

The fourth proportional to 11,267.82, 16,866.30 and 7,737.18 is: 11,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.82 : 16,866.30 = 7,737.18 : x
  2. Step 2: Convert to fraction form
    11,267.82/16,866.30 = 7,737.18/x
  3. Step 3: Cross multiply
    11,267.82x = 16,866.30 × 7,737.18
  4. Step 4: Simplify right side
    11,267.82x = 130,497,599.03
  5. Step 5: Solve for x
    x = 130,497,599.03/11,267.82
  6. Step 6: Final answer
    x = 11,581.44

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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.