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Finding the Fourth Proportional to 8,349.87, 12,525.19 and 4,649.31

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Solution

The fourth proportional to 8,349.87, 12,525.19 and 4,649.31 is: 6,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.87 : 12,525.19 = 4,649.31 : x
  2. Step 2: Convert to fraction form
    8,349.87/12,525.19 = 4,649.31/x
  3. Step 3: Cross multiply
    8,349.87x = 12,525.19 × 4,649.31
  4. Step 4: Simplify right side
    8,349.87x = 58,233,479.50
  5. Step 5: Solve for x
    x = 58,233,479.50/8,349.87
  6. Step 6: Final answer
    x = 6,974.18

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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.