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Finding the Fourth Proportional to 11,840.50, 16,338.03 and 6,803.74

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Solution

The fourth proportional to 11,840.50, 16,338.03 and 6,803.74 is: 9,388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.50 : 16,338.03 = 6,803.74 : x
  2. Step 2: Convert to fraction form
    11,840.50/16,338.03 = 6,803.74/x
  3. Step 3: Cross multiply
    11,840.50x = 16,338.03 × 6,803.74
  4. Step 4: Simplify right side
    11,840.50x = 111,159,708.23
  5. Step 5: Solve for x
    x = 111,159,708.23/11,840.50
  6. Step 6: Final answer
    x = 9,388.09

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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.