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Finding the Fourth Proportional to 7,241.87, 10,852.18 and 4,277.27

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Solution

The fourth proportional to 7,241.87, 10,852.18 and 4,277.27 is: 6,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.87 : 10,852.18 = 4,277.27 : x
  2. Step 2: Convert to fraction form
    7,241.87/10,852.18 = 4,277.27/x
  3. Step 3: Cross multiply
    7,241.87x = 10,852.18 × 4,277.27
  4. Step 4: Simplify right side
    7,241.87x = 46,417,720.39
  5. Step 5: Solve for x
    x = 46,417,720.39/7,241.87
  6. Step 6: Final answer
    x = 6,409.63

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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.