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Finding the Fourth Proportional to 6,243.23, 8,615.78 and 3,410.71

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Solution

The fourth proportional to 6,243.23, 8,615.78 and 3,410.71 is: 4,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.23 : 8,615.78 = 3,410.71 : x
  2. Step 2: Convert to fraction form
    6,243.23/8,615.78 = 3,410.71/x
  3. Step 3: Cross multiply
    6,243.23x = 8,615.78 × 3,410.71
  4. Step 4: Simplify right side
    6,243.23x = 29,385,931.49
  5. Step 5: Solve for x
    x = 29,385,931.49/6,243.23
  6. Step 6: Final answer
    x = 4,706.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.