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Finding the Fourth Proportional to 8,315.66, 12,469.84 and 3,117.90

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Solution

The fourth proportional to 8,315.66, 12,469.84 and 3,117.90 is: 4,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.66 : 12,469.84 = 3,117.90 : x
  2. Step 2: Convert to fraction form
    8,315.66/12,469.84 = 3,117.90/x
  3. Step 3: Cross multiply
    8,315.66x = 12,469.84 × 3,117.90
  4. Step 4: Simplify right side
    8,315.66x = 38,879,714.14
  5. Step 5: Solve for x
    x = 38,879,714.14/8,315.66
  6. Step 6: Final answer
    x = 4,675.48

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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.