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Finding the Fourth Proportional to 11,653.22, 16,080.87 and 6,616.78

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Solution

The fourth proportional to 11,653.22, 16,080.87 and 6,616.78 is: 9,130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.22 : 16,080.87 = 6,616.78 : x
  2. Step 2: Convert to fraction form
    11,653.22/16,080.87 = 6,616.78/x
  3. Step 3: Cross multiply
    11,653.22x = 16,080.87 × 6,616.78
  4. Step 4: Simplify right side
    11,653.22x = 106,403,494.47
  5. Step 5: Solve for x
    x = 106,403,494.47/11,653.22
  6. Step 6: Final answer
    x = 9,130.83

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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.