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Finding the Fourth Proportional to 6,895.50, 10,349.73 and 3,610.95

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Solution

The fourth proportional to 6,895.50, 10,349.73 and 3,610.95 is: 5,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.50 : 10,349.73 = 3,610.95 : x
  2. Step 2: Convert to fraction form
    6,895.50/10,349.73 = 3,610.95/x
  3. Step 3: Cross multiply
    6,895.50x = 10,349.73 × 3,610.95
  4. Step 4: Simplify right side
    6,895.50x = 37,372,313.61
  5. Step 5: Solve for x
    x = 37,372,313.61/6,895.50
  6. Step 6: Final answer
    x = 5,419.81

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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.