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Finding the Fourth Proportional to 11,645.26, 16,074.08 and 6,612.83

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Solution

The fourth proportional to 11,645.26, 16,074.08 and 6,612.83 is: 9,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.26 : 16,074.08 = 6,612.83 : x
  2. Step 2: Convert to fraction form
    11,645.26/16,074.08 = 6,612.83/x
  3. Step 3: Cross multiply
    11,645.26x = 16,074.08 × 6,612.83
  4. Step 4: Simplify right side
    11,645.26x = 106,295,158.45
  5. Step 5: Solve for x
    x = 106,295,158.45/11,645.26
  6. Step 6: Final answer
    x = 9,127.76

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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.