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Finding the Fourth Proportional to 6,798.74, 10,201.14 and 5,236.38

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Solution

The fourth proportional to 6,798.74, 10,201.14 and 5,236.38 is: 7,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.74 : 10,201.14 = 5,236.38 : x
  2. Step 2: Convert to fraction form
    6,798.74/10,201.14 = 5,236.38/x
  3. Step 3: Cross multiply
    6,798.74x = 10,201.14 × 5,236.38
  4. Step 4: Simplify right side
    6,798.74x = 53,417,045.47
  5. Step 5: Solve for x
    x = 53,417,045.47/6,798.74
  6. Step 6: Final answer
    x = 7,856.91

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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.