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Finding the Fourth Proportional to 6,265.71, 8,642.57 and 4,024.04

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Solution

The fourth proportional to 6,265.71, 8,642.57 and 4,024.04 is: 5,550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.71 : 8,642.57 = 4,024.04 : x
  2. Step 2: Convert to fraction form
    6,265.71/8,642.57 = 4,024.04/x
  3. Step 3: Cross multiply
    6,265.71x = 8,642.57 × 4,024.04
  4. Step 4: Simplify right side
    6,265.71x = 34,777,984.05
  5. Step 5: Solve for x
    x = 34,777,984.05/6,265.71
  6. Step 6: Final answer
    x = 5,550.53

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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.