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Finding the Fourth Proportional to 27,804.40, 41,708.76 and 8,083.28

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Solution

The fourth proportional to 27,804.40, 41,708.76 and 8,083.28 is: 12,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.40 : 41,708.76 = 8,083.28 : x
  2. Step 2: Convert to fraction form
    27,804.40/41,708.76 = 8,083.28/x
  3. Step 3: Cross multiply
    27,804.40x = 41,708.76 × 8,083.28
  4. Step 4: Simplify right side
    27,804.40x = 337,143,585.53
  5. Step 5: Solve for x
    x = 337,143,585.53/27,804.40
  6. Step 6: Final answer
    x = 12,125.55

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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.