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Finding the Fourth Proportional to 11,282.72, 16,924.61 and 6,845.13

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Solution

The fourth proportional to 11,282.72, 16,924.61 and 6,845.13 is: 10,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.72 : 16,924.61 = 6,845.13 : x
  2. Step 2: Convert to fraction form
    11,282.72/16,924.61 = 6,845.13/x
  3. Step 3: Cross multiply
    11,282.72x = 16,924.61 × 6,845.13
  4. Step 4: Simplify right side
    11,282.72x = 115,851,172.76
  5. Step 5: Solve for x
    x = 115,851,172.76/11,282.72
  6. Step 6: Final answer
    x = 10,268.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.