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Finding the Fourth Proportional to 11,640.08, 16,063.10 and 6,465.78

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Solution

The fourth proportional to 11,640.08, 16,063.10 and 6,465.78 is: 8,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.08 : 16,063.10 = 6,465.78 : x
  2. Step 2: Convert to fraction form
    11,640.08/16,063.10 = 6,465.78/x
  3. Step 3: Cross multiply
    11,640.08x = 16,063.10 × 6,465.78
  4. Step 4: Simplify right side
    11,640.08x = 103,860,486.88
  5. Step 5: Solve for x
    x = 103,860,486.88/11,640.08
  6. Step 6: Final answer
    x = 8,922.66

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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.