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Finding the Fourth Proportional to 4,240.96, 6,361.44 and 4,143.76

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Solution

The fourth proportional to 4,240.96, 6,361.44 and 4,143.76 is: 6,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.96 : 6,361.44 = 4,143.76 : x
  2. Step 2: Convert to fraction form
    4,240.96/6,361.44 = 4,143.76/x
  3. Step 3: Cross multiply
    4,240.96x = 6,361.44 × 4,143.76
  4. Step 4: Simplify right side
    4,240.96x = 26,360,280.61
  5. Step 5: Solve for x
    x = 26,360,280.61/4,240.96
  6. Step 6: Final answer
    x = 6,215.64

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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.