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Finding the Fourth Proportional to 11,233.84, 16,851.84 and 4,659.88

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Solution

The fourth proportional to 11,233.84, 16,851.84 and 4,659.88 is: 6,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233.84 : 16,851.84 = 4,659.88 : x
  2. Step 2: Convert to fraction form
    11,233.84/16,851.84 = 4,659.88/x
  3. Step 3: Cross multiply
    11,233.84x = 16,851.84 × 4,659.88
  4. Step 4: Simplify right side
    11,233.84x = 78,527,552.18
  5. Step 5: Solve for x
    x = 78,527,552.18/11,233.84
  6. Step 6: Final answer
    x = 6,990.27

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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.