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Finding the Fourth Proportional to 11,840.69, 16,339.65 and 6,535.43

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Solution

The fourth proportional to 11,840.69, 16,339.65 and 6,535.43 is: 9,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.69 : 16,339.65 = 6,535.43 : x
  2. Step 2: Convert to fraction form
    11,840.69/16,339.65 = 6,535.43/x
  3. Step 3: Cross multiply
    11,840.69x = 16,339.65 × 6,535.43
  4. Step 4: Simplify right side
    11,840.69x = 106,786,557.10
  5. Step 5: Solve for x
    x = 106,786,557.10/11,840.69
  6. Step 6: Final answer
    x = 9,018.61

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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.