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Finding the Fourth Proportional to 7,113.96, 10,670.87 and 2,433.92

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Solution

The fourth proportional to 7,113.96, 10,670.87 and 2,433.92 is: 3,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.96 : 10,670.87 = 2,433.92 : x
  2. Step 2: Convert to fraction form
    7,113.96/10,670.87 = 2,433.92/x
  3. Step 3: Cross multiply
    7,113.96x = 10,670.87 × 2,433.92
  4. Step 4: Simplify right side
    7,113.96x = 25,971,996.64
  5. Step 5: Solve for x
    x = 25,971,996.64/7,113.96
  6. Step 6: Final answer
    x = 3,650.85

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Why These Related Problems?

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