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Finding the Fourth Proportional to 27,784.49, 41,683.10 and 8,064.63

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Solution

The fourth proportional to 27,784.49, 41,683.10 and 8,064.63 is: 12,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.49 : 41,683.10 = 8,064.63 : x
  2. Step 2: Convert to fraction form
    27,784.49/41,683.10 = 8,064.63/x
  3. Step 3: Cross multiply
    27,784.49x = 41,683.10 × 8,064.63
  4. Step 4: Simplify right side
    27,784.49x = 336,158,738.43
  5. Step 5: Solve for x
    x = 336,158,738.43/27,784.49
  6. Step 6: Final answer
    x = 12,098.79

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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.