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Finding the Fourth Proportional to 11,652.68, 16,080.75 and 7,175.31

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Solution

The fourth proportional to 11,652.68, 16,080.75 and 7,175.31 is: 9,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.68 : 16,080.75 = 7,175.31 : x
  2. Step 2: Convert to fraction form
    11,652.68/16,080.75 = 7,175.31/x
  3. Step 3: Cross multiply
    11,652.68x = 16,080.75 × 7,175.31
  4. Step 4: Simplify right side
    11,652.68x = 115,384,366.28
  5. Step 5: Solve for x
    x = 115,384,366.28/11,652.68
  6. Step 6: Final answer
    x = 9,901.96

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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.