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Finding the Fourth Proportional to 10,015.86, 15,024.48 and 3,446.67

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Solution

The fourth proportional to 10,015.86, 15,024.48 and 3,446.67 is: 5,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.86 : 15,024.48 = 3,446.67 : x
  2. Step 2: Convert to fraction form
    10,015.86/15,024.48 = 3,446.67/x
  3. Step 3: Cross multiply
    10,015.86x = 15,024.48 × 3,446.67
  4. Step 4: Simplify right side
    10,015.86x = 51,784,424.48
  5. Step 5: Solve for x
    x = 51,784,424.48/10,015.86
  6. Step 6: Final answer
    x = 5,170.24

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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.