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Finding the Fourth Proportional to 10,452.52, 14,424.38 and 5,736.68

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Solution

The fourth proportional to 10,452.52, 14,424.38 and 5,736.68 is: 7,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.52 : 14,424.38 = 5,736.68 : x
  2. Step 2: Convert to fraction form
    10,452.52/14,424.38 = 5,736.68/x
  3. Step 3: Cross multiply
    10,452.52x = 14,424.38 × 5,736.68
  4. Step 4: Simplify right side
    10,452.52x = 82,748,052.26
  5. Step 5: Solve for x
    x = 82,748,052.26/10,452.52
  6. Step 6: Final answer
    x = 7,916.56

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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.