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Finding the Fourth Proportional to 6,959.37, 10,439.34 and 1,765.38

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Solution

The fourth proportional to 6,959.37, 10,439.34 and 1,765.38 is: 2,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.37 : 10,439.34 = 1,765.38 : x
  2. Step 2: Convert to fraction form
    6,959.37/10,439.34 = 1,765.38/x
  3. Step 3: Cross multiply
    6,959.37x = 10,439.34 × 1,765.38
  4. Step 4: Simplify right side
    6,959.37x = 18,429,402.05
  5. Step 5: Solve for x
    x = 18,429,402.05/6,959.37
  6. Step 6: Final answer
    x = 2,648.14

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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.