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Finding the Fourth Proportional to 6,832.71, 10,251.51 and 2,884.95

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Solution

The fourth proportional to 6,832.71, 10,251.51 and 2,884.95 is: 4,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.71 : 10,251.51 = 2,884.95 : x
  2. Step 2: Convert to fraction form
    6,832.71/10,251.51 = 2,884.95/x
  3. Step 3: Cross multiply
    6,832.71x = 10,251.51 × 2,884.95
  4. Step 4: Simplify right side
    6,832.71x = 29,575,093.77
  5. Step 5: Solve for x
    x = 29,575,093.77/6,832.71
  6. Step 6: Final answer
    x = 4,328.46

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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.