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Finding the Fourth Proportional to 7,823.04, 11,734.24 and 2,892.56

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Solution

The fourth proportional to 7,823.04, 11,734.24 and 2,892.56 is: 4,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.04 : 11,734.24 = 2,892.56 : x
  2. Step 2: Convert to fraction form
    7,823.04/11,734.24 = 2,892.56/x
  3. Step 3: Cross multiply
    7,823.04x = 11,734.24 × 2,892.56
  4. Step 4: Simplify right side
    7,823.04x = 33,941,993.25
  5. Step 5: Solve for x
    x = 33,941,993.25/7,823.04
  6. Step 6: Final answer
    x = 4,338.72

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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.