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Finding the Fourth Proportional to 7,233.84, 10,851.24 and 2,854.37

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Solution

The fourth proportional to 7,233.84, 10,851.24 and 2,854.37 is: 4,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.84 : 10,851.24 = 2,854.37 : x
  2. Step 2: Convert to fraction form
    7,233.84/10,851.24 = 2,854.37/x
  3. Step 3: Cross multiply
    7,233.84x = 10,851.24 × 2,854.37
  4. Step 4: Simplify right side
    7,233.84x = 30,973,399.66
  5. Step 5: Solve for x
    x = 30,973,399.66/7,233.84
  6. Step 6: Final answer
    x = 4,281.74

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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.