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Finding the Fourth Proportional to 8,522.63, 11,760.39 and 6,285.71

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Solution

The fourth proportional to 8,522.63, 11,760.39 and 6,285.71 is: 8,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.63 : 11,760.39 = 6,285.71 : x
  2. Step 2: Convert to fraction form
    8,522.63/11,760.39 = 6,285.71/x
  3. Step 3: Cross multiply
    8,522.63x = 11,760.39 × 6,285.71
  4. Step 4: Simplify right side
    8,522.63x = 73,922,401.03
  5. Step 5: Solve for x
    x = 73,922,401.03/8,522.63
  6. Step 6: Final answer
    x = 8,673.66

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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.