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Finding the Fourth Proportional to 11,840.99, 16,340.65 and 6,463.80

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Solution

The fourth proportional to 11,840.99, 16,340.65 and 6,463.80 is: 8,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.99 : 16,340.65 = 6,463.80 : x
  2. Step 2: Convert to fraction form
    11,840.99/16,340.65 = 6,463.80/x
  3. Step 3: Cross multiply
    11,840.99x = 16,340.65 × 6,463.80
  4. Step 4: Simplify right side
    11,840.99x = 105,622,677.31
  5. Step 5: Solve for x
    x = 105,622,677.31/11,840.99
  6. Step 6: Final answer
    x = 8,920.09

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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.