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Finding the Fourth Proportional to 6,832.04, 10,251.98 and 2,883

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Solution

The fourth proportional to 6,832.04, 10,251.98 and 2,883 is: 4,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.04 : 10,251.98 = 2,883 : x
  2. Step 2: Convert to fraction form
    6,832.04/10,251.98 = 2,883/x
  3. Step 3: Cross multiply
    6,832.04x = 10,251.98 × 2,883
  4. Step 4: Simplify right side
    6,832.04x = 29,556,458.34
  5. Step 5: Solve for x
    x = 29,556,458.34/6,832.04
  6. Step 6: Final answer
    x = 4,326.15

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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.