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Finding the Fourth Proportional to 8,362.30, 12,524.96 and 3,416.95

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Solution

The fourth proportional to 8,362.30, 12,524.96 and 3,416.95 is: 5,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.30 : 12,524.96 = 3,416.95 : x
  2. Step 2: Convert to fraction form
    8,362.30/12,524.96 = 3,416.95/x
  3. Step 3: Cross multiply
    8,362.30x = 12,524.96 × 3,416.95
  4. Step 4: Simplify right side
    8,362.30x = 42,797,162.07
  5. Step 5: Solve for x
    x = 42,797,162.07/8,362.30
  6. Step 6: Final answer
    x = 5,117.87

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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.