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Finding the Fourth Proportional to 7,166.78, 10,749.36 and 2,236

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Solution

The fourth proportional to 7,166.78, 10,749.36 and 2,236 is: 3,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.78 : 10,749.36 = 2,236 : x
  2. Step 2: Convert to fraction form
    7,166.78/10,749.36 = 2,236/x
  3. Step 3: Cross multiply
    7,166.78x = 10,749.36 × 2,236
  4. Step 4: Simplify right side
    7,166.78x = 24,035,568.96
  5. Step 5: Solve for x
    x = 24,035,568.96/7,166.78
  6. Step 6: Final answer
    x = 3,353.75

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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.