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Finding the Fourth Proportional to 10,431.01, 14,394.63 and 5,957.38

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Solution

The fourth proportional to 10,431.01, 14,394.63 and 5,957.38 is: 8,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.01 : 14,394.63 = 5,957.38 : x
  2. Step 2: Convert to fraction form
    10,431.01/14,394.63 = 5,957.38/x
  3. Step 3: Cross multiply
    10,431.01x = 14,394.63 × 5,957.38
  4. Step 4: Simplify right side
    10,431.01x = 85,754,280.87
  5. Step 5: Solve for x
    x = 85,754,280.87/10,431.01
  6. Step 6: Final answer
    x = 8,221.09

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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.