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Finding the Fourth Proportional to 8,359.66, 12,541.38 and 4,201.66

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Solution

The fourth proportional to 8,359.66, 12,541.38 and 4,201.66 is: 6,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.66 : 12,541.38 = 4,201.66 : x
  2. Step 2: Convert to fraction form
    8,359.66/12,541.38 = 4,201.66/x
  3. Step 3: Cross multiply
    8,359.66x = 12,541.38 × 4,201.66
  4. Step 4: Simplify right side
    8,359.66x = 52,694,614.69
  5. Step 5: Solve for x
    x = 52,694,614.69/8,359.66
  6. Step 6: Final answer
    x = 6,303.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.