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Finding the Fourth Proportional to 8,520.63, 11,757.63 and 6,283.71

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Solution

The fourth proportional to 8,520.63, 11,757.63 and 6,283.71 is: 8,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.63 : 11,757.63 = 6,283.71 : x
  2. Step 2: Convert to fraction form
    8,520.63/11,757.63 = 6,283.71/x
  3. Step 3: Cross multiply
    8,520.63x = 11,757.63 × 6,283.71
  4. Step 4: Simplify right side
    8,520.63x = 73,881,537.21
  5. Step 5: Solve for x
    x = 73,881,537.21/8,520.63
  6. Step 6: Final answer
    x = 8,670.90

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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.