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Finding the Fourth Proportional to 10,271.60, 14,161.97 and 8,572.56

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Solution

The fourth proportional to 10,271.60, 14,161.97 and 8,572.56 is: 11,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.60 : 14,161.97 = 8,572.56 : x
  2. Step 2: Convert to fraction form
    10,271.60/14,161.97 = 8,572.56/x
  3. Step 3: Cross multiply
    10,271.60x = 14,161.97 × 8,572.56
  4. Step 4: Simplify right side
    10,271.60x = 121,404,294.68
  5. Step 5: Solve for x
    x = 121,404,294.68/10,271.60
  6. Step 6: Final answer
    x = 11,819.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.