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Finding the Fourth Proportional to 10,452, 14,424.11 and 5,736.59

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Solution

The fourth proportional to 10,452, 14,424.11 and 5,736.59 is: 7,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452 : 14,424.11 = 5,736.59 : x
  2. Step 2: Convert to fraction form
    10,452/14,424.11 = 5,736.59/x
  3. Step 3: Cross multiply
    10,452x = 14,424.11 × 5,736.59
  4. Step 4: Simplify right side
    10,452x = 82,745,104.38
  5. Step 5: Solve for x
    x = 82,745,104.38/10,452
  6. Step 6: Final answer
    x = 7,916.68

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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.