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Finding the Fourth Proportional to 10,274.92, 15,412.82 and 5,341.48

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Solution

The fourth proportional to 10,274.92, 15,412.82 and 5,341.48 is: 8,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.92 : 15,412.82 = 5,341.48 : x
  2. Step 2: Convert to fraction form
    10,274.92/15,412.82 = 5,341.48/x
  3. Step 3: Cross multiply
    10,274.92x = 15,412.82 × 5,341.48
  4. Step 4: Simplify right side
    10,274.92x = 82,327,269.77
  5. Step 5: Solve for x
    x = 82,327,269.77/10,274.92
  6. Step 6: Final answer
    x = 8,012.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.