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Finding the Fourth Proportional to 11,761.82, 16,230.12 and 7,045.98

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Solution

The fourth proportional to 11,761.82, 16,230.12 and 7,045.98 is: 9,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.82 : 16,230.12 = 7,045.98 : x
  2. Step 2: Convert to fraction form
    11,761.82/16,230.12 = 7,045.98/x
  3. Step 3: Cross multiply
    11,761.82x = 16,230.12 × 7,045.98
  4. Step 4: Simplify right side
    11,761.82x = 114,357,100.92
  5. Step 5: Solve for x
    x = 114,357,100.92/11,761.82
  6. Step 6: Final answer
    x = 9,722.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.