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Finding the Fourth Proportional to 7,867.96, 11,803.16 and 2,672.62

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Solution

The fourth proportional to 7,867.96, 11,803.16 and 2,672.62 is: 4,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.96 : 11,803.16 = 2,672.62 : x
  2. Step 2: Convert to fraction form
    7,867.96/11,803.16 = 2,672.62/x
  3. Step 3: Cross multiply
    7,867.96x = 11,803.16 × 2,672.62
  4. Step 4: Simplify right side
    7,867.96x = 31,545,361.48
  5. Step 5: Solve for x
    x = 31,545,361.48/7,867.96
  6. Step 6: Final answer
    x = 4,009.34

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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.