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Finding the Fourth Proportional to 7,808.72, 10,773.38 and 4,449.15

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Solution

The fourth proportional to 7,808.72, 10,773.38 and 4,449.15 is: 6,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.72 : 10,773.38 = 4,449.15 : x
  2. Step 2: Convert to fraction form
    7,808.72/10,773.38 = 4,449.15/x
  3. Step 3: Cross multiply
    7,808.72x = 10,773.38 × 4,449.15
  4. Step 4: Simplify right side
    7,808.72x = 47,932,394.75
  5. Step 5: Solve for x
    x = 47,932,394.75/7,808.72
  6. Step 6: Final answer
    x = 6,138.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.