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Finding the Fourth Proportional to 6,847.48, 10,277.64 and 3,562.90

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Solution

The fourth proportional to 6,847.48, 10,277.64 and 3,562.90 is: 5,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.48 : 10,277.64 = 3,562.90 : x
  2. Step 2: Convert to fraction form
    6,847.48/10,277.64 = 3,562.90/x
  3. Step 3: Cross multiply
    6,847.48x = 10,277.64 × 3,562.90
  4. Step 4: Simplify right side
    6,847.48x = 36,618,203.56
  5. Step 5: Solve for x
    x = 36,618,203.56/6,847.48
  6. Step 6: Final answer
    x = 5,347.69

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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.