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Finding the Fourth Proportional to 6,823.68, 10,233.84 and 1,892.16

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Solution

The fourth proportional to 6,823.68, 10,233.84 and 1,892.16 is: 2,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.68 : 10,233.84 = 1,892.16 : x
  2. Step 2: Convert to fraction form
    6,823.68/10,233.84 = 1,892.16/x
  3. Step 3: Cross multiply
    6,823.68x = 10,233.84 × 1,892.16
  4. Step 4: Simplify right side
    6,823.68x = 19,364,062.69
  5. Step 5: Solve for x
    x = 19,364,062.69/6,823.68
  6. Step 6: Final answer
    x = 2,837.77

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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.