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Finding the Fourth Proportional to 8,461.43, 11,664.53 and 5,935.70

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Solution

The fourth proportional to 8,461.43, 11,664.53 and 5,935.70 is: 8,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.43 : 11,664.53 = 5,935.70 : x
  2. Step 2: Convert to fraction form
    8,461.43/11,664.53 = 5,935.70/x
  3. Step 3: Cross multiply
    8,461.43x = 11,664.53 × 5,935.70
  4. Step 4: Simplify right side
    8,461.43x = 69,237,092.40
  5. Step 5: Solve for x
    x = 69,237,092.40/8,461.43
  6. Step 6: Final answer
    x = 8,182.68

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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.