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Finding the Fourth Proportional to 11,840.82, 16,340.12 and 6,535.53

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Solution

The fourth proportional to 11,840.82, 16,340.12 and 6,535.53 is: 9,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.82 : 16,340.12 = 6,535.53 : x
  2. Step 2: Convert to fraction form
    11,840.82/16,340.12 = 6,535.53/x
  3. Step 3: Cross multiply
    11,840.82x = 16,340.12 × 6,535.53
  4. Step 4: Simplify right side
    11,840.82x = 106,791,311.79
  5. Step 5: Solve for x
    x = 106,791,311.79/11,840.82
  6. Step 6: Final answer
    x = 9,018.91

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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.