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Finding the Fourth Proportional to 8,471.97, 12,701.03 and 3,203.98

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Solution

The fourth proportional to 8,471.97, 12,701.03 and 3,203.98 is: 4,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.97 : 12,701.03 = 3,203.98 : x
  2. Step 2: Convert to fraction form
    8,471.97/12,701.03 = 3,203.98/x
  3. Step 3: Cross multiply
    8,471.97x = 12,701.03 × 3,203.98
  4. Step 4: Simplify right side
    8,471.97x = 40,693,798.33
  5. Step 5: Solve for x
    x = 40,693,798.33/8,471.97
  6. Step 6: Final answer
    x = 4,803.35

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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.