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Finding the Fourth Proportional to 8,461.98, 12,697.75 and 3,200.56

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Solution

The fourth proportional to 8,461.98, 12,697.75 and 3,200.56 is: 4,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.98 : 12,697.75 = 3,200.56 : x
  2. Step 2: Convert to fraction form
    8,461.98/12,697.75 = 3,200.56/x
  3. Step 3: Cross multiply
    8,461.98x = 12,697.75 × 3,200.56
  4. Step 4: Simplify right side
    8,461.98x = 40,639,910.74
  5. Step 5: Solve for x
    x = 40,639,910.74/8,461.98
  6. Step 6: Final answer
    x = 4,802.65

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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.