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Finding the Fourth Proportional to 6,695.39, 10,042.22 and 1,765.40

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Solution

The fourth proportional to 6,695.39, 10,042.22 and 1,765.40 is: 2,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.39 : 10,042.22 = 1,765.40 : x
  2. Step 2: Convert to fraction form
    6,695.39/10,042.22 = 1,765.40/x
  3. Step 3: Cross multiply
    6,695.39x = 10,042.22 × 1,765.40
  4. Step 4: Simplify right side
    6,695.39x = 17,728,476.15
  5. Step 5: Solve for x
    x = 17,728,476.15/6,695.39
  6. Step 6: Final answer
    x = 2,647.87

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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.