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Finding the Fourth Proportional to 11,640.63, 16,063.39 and 6,535.68

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Solution

The fourth proportional to 11,640.63, 16,063.39 and 6,535.68 is: 9,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.63 : 16,063.39 = 6,535.68 : x
  2. Step 2: Convert to fraction form
    11,640.63/16,063.39 = 6,535.68/x
  3. Step 3: Cross multiply
    11,640.63x = 16,063.39 × 6,535.68
  4. Step 4: Simplify right side
    11,640.63x = 104,985,176.76
  5. Step 5: Solve for x
    x = 104,985,176.76/11,640.63
  6. Step 6: Final answer
    x = 9,018.86

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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.