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Finding the Fourth Proportional to 8,309.16, 12,461.62 and 2,464.41

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Solution

The fourth proportional to 8,309.16, 12,461.62 and 2,464.41 is: 3,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.16 : 12,461.62 = 2,464.41 : x
  2. Step 2: Convert to fraction form
    8,309.16/12,461.62 = 2,464.41/x
  3. Step 3: Cross multiply
    8,309.16x = 12,461.62 × 2,464.41
  4. Step 4: Simplify right side
    8,309.16x = 30,710,540.94
  5. Step 5: Solve for x
    x = 30,710,540.94/8,309.16
  6. Step 6: Final answer
    x = 3,695.99

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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.