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Finding the Fourth Proportional to 11,785.47, 17,676.98 and 4,769.15

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Solution

The fourth proportional to 11,785.47, 17,676.98 and 4,769.15 is: 7,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.47 : 17,676.98 = 4,769.15 : x
  2. Step 2: Convert to fraction form
    11,785.47/17,676.98 = 4,769.15/x
  3. Step 3: Cross multiply
    11,785.47x = 17,676.98 × 4,769.15
  4. Step 4: Simplify right side
    11,785.47x = 84,304,056.94
  5. Step 5: Solve for x
    x = 84,304,056.94/11,785.47
  6. Step 6: Final answer
    x = 7,153.22

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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.