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Finding the Fourth Proportional to 11,653.96, 16,080.66 and 6,685

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Solution

The fourth proportional to 11,653.96, 16,080.66 and 6,685 is: 9,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.96 : 16,080.66 = 6,685 : x
  2. Step 2: Convert to fraction form
    11,653.96/16,080.66 = 6,685/x
  3. Step 3: Cross multiply
    11,653.96x = 16,080.66 × 6,685
  4. Step 4: Simplify right side
    11,653.96x = 107,499,212.10
  5. Step 5: Solve for x
    x = 107,499,212.10/11,653.96
  6. Step 6: Final answer
    x = 9,224.26

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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.