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Finding the Fourth Proportional to 8,304.86, 12,457.34 and 2,461.52

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Solution

The fourth proportional to 8,304.86, 12,457.34 and 2,461.52 is: 3,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.86 : 12,457.34 = 2,461.52 : x
  2. Step 2: Convert to fraction form
    8,304.86/12,457.34 = 2,461.52/x
  3. Step 3: Cross multiply
    8,304.86x = 12,457.34 × 2,461.52
  4. Step 4: Simplify right side
    8,304.86x = 30,663,991.56
  5. Step 5: Solve for x
    x = 30,663,991.56/8,304.86
  6. Step 6: Final answer
    x = 3,692.29

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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.