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Finding the Fourth Proportional to 27,808.52, 41,708.46 and 8,083

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Solution

The fourth proportional to 27,808.52, 41,708.46 and 8,083 is: 12,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.52 : 41,708.46 = 8,083 : x
  2. Step 2: Convert to fraction form
    27,808.52/41,708.46 = 8,083/x
  3. Step 3: Cross multiply
    27,808.52x = 41,708.46 × 8,083
  4. Step 4: Simplify right side
    27,808.52x = 337,129,482.18
  5. Step 5: Solve for x
    x = 337,129,482.18/27,808.52
  6. Step 6: Final answer
    x = 12,123.24

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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.