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Finding the Fourth Proportional to 10,277.67, 14,183.13 and 5,801.40

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Solution

The fourth proportional to 10,277.67, 14,183.13 and 5,801.40 is: 8,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.67 : 14,183.13 = 5,801.40 : x
  2. Step 2: Convert to fraction form
    10,277.67/14,183.13 = 5,801.40/x
  3. Step 3: Cross multiply
    10,277.67x = 14,183.13 × 5,801.40
  4. Step 4: Simplify right side
    10,277.67x = 82,282,010.38
  5. Step 5: Solve for x
    x = 82,282,010.38/10,277.67
  6. Step 6: Final answer
    x = 8,005.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.