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Finding the Fourth Proportional to 8,182.65, 12,274.99 and 4,019.14

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Solution

The fourth proportional to 8,182.65, 12,274.99 and 4,019.14 is: 6,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.65 : 12,274.99 = 4,019.14 : x
  2. Step 2: Convert to fraction form
    8,182.65/12,274.99 = 4,019.14/x
  3. Step 3: Cross multiply
    8,182.65x = 12,274.99 × 4,019.14
  4. Step 4: Simplify right side
    8,182.65x = 49,334,965.74
  5. Step 5: Solve for x
    x = 49,334,965.74/8,182.65
  6. Step 6: Final answer
    x = 6,029.22

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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.