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Finding the Fourth Proportional to 10,450.53, 14,421.73 and 5,974.38

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Solution

The fourth proportional to 10,450.53, 14,421.73 and 5,974.38 is: 8,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.53 : 14,421.73 = 5,974.38 : x
  2. Step 2: Convert to fraction form
    10,450.53/14,421.73 = 5,974.38/x
  3. Step 3: Cross multiply
    10,450.53x = 14,421.73 × 5,974.38
  4. Step 4: Simplify right side
    10,450.53x = 86,160,895.28
  5. Step 5: Solve for x
    x = 86,160,895.28/10,450.53
  6. Step 6: Final answer
    x = 8,244.64

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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.