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Finding the Fourth Proportional to 10,501.22, 15,754.90 and 3,105.87

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Solution

The fourth proportional to 10,501.22, 15,754.90 and 3,105.87 is: 4,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.22 : 15,754.90 = 3,105.87 : x
  2. Step 2: Convert to fraction form
    10,501.22/15,754.90 = 3,105.87/x
  3. Step 3: Cross multiply
    10,501.22x = 15,754.90 × 3,105.87
  4. Step 4: Simplify right side
    10,501.22x = 48,932,663.50
  5. Step 5: Solve for x
    x = 48,932,663.50/10,501.22
  6. Step 6: Final answer
    x = 4,659.71

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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.