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Finding the Fourth Proportional to 8,472.76, 12,701.63 and 3,204.09

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Solution

The fourth proportional to 8,472.76, 12,701.63 and 3,204.09 is: 4,803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.76 : 12,701.63 = 3,204.09 : x
  2. Step 2: Convert to fraction form
    8,472.76/12,701.63 = 3,204.09/x
  3. Step 3: Cross multiply
    8,472.76x = 12,701.63 × 3,204.09
  4. Step 4: Simplify right side
    8,472.76x = 40,697,102.02
  5. Step 5: Solve for x
    x = 40,697,102.02/8,472.76
  6. Step 6: Final answer
    x = 4,803.29

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Why These Related Problems?

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