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Finding the Fourth Proportional to 11,840.49, 16,339.86 and 6,535.31

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Solution

The fourth proportional to 11,840.49, 16,339.86 and 6,535.31 is: 9,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.49 : 16,339.86 = 6,535.31 : x
  2. Step 2: Convert to fraction form
    11,840.49/16,339.86 = 6,535.31/x
  3. Step 3: Cross multiply
    11,840.49x = 16,339.86 × 6,535.31
  4. Step 4: Simplify right side
    11,840.49x = 106,785,968.76
  5. Step 5: Solve for x
    x = 106,785,968.76/11,840.49
  6. Step 6: Final answer
    x = 9,018.71

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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.