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Finding the Fourth Proportional to 11,951.99, 16,494.17 and 6,574.83

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Solution

The fourth proportional to 11,951.99, 16,494.17 and 6,574.83 is: 9,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.99 : 16,494.17 = 6,574.83 : x
  2. Step 2: Convert to fraction form
    11,951.99/16,494.17 = 6,574.83/x
  3. Step 3: Cross multiply
    11,951.99x = 16,494.17 × 6,574.83
  4. Step 4: Simplify right side
    11,951.99x = 108,446,363.74
  5. Step 5: Solve for x
    x = 108,446,363.74/11,951.99
  6. Step 6: Final answer
    x = 9,073.50

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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.