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Finding the Fourth Proportional to 8,434.84, 12,652.80 and 3,504.88

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Solution

The fourth proportional to 8,434.84, 12,652.80 and 3,504.88 is: 5,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.84 : 12,652.80 = 3,504.88 : x
  2. Step 2: Convert to fraction form
    8,434.84/12,652.80 = 3,504.88/x
  3. Step 3: Cross multiply
    8,434.84x = 12,652.80 × 3,504.88
  4. Step 4: Simplify right side
    8,434.84x = 44,346,545.66
  5. Step 5: Solve for x
    x = 44,346,545.66/8,434.84
  6. Step 6: Final answer
    x = 5,257.54

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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.