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Finding the Fourth Proportional to 11,627.83, 16,045.97 and 6,322.66

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Solution

The fourth proportional to 11,627.83, 16,045.97 and 6,322.66 is: 8,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.83 : 16,045.97 = 6,322.66 : x
  2. Step 2: Convert to fraction form
    11,627.83/16,045.97 = 6,322.66/x
  3. Step 3: Cross multiply
    11,627.83x = 16,045.97 × 6,322.66
  4. Step 4: Simplify right side
    11,627.83x = 101,453,140.95
  5. Step 5: Solve for x
    x = 101,453,140.95/11,627.83
  6. Step 6: Final answer
    x = 8,725.03

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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.