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Finding the Fourth Proportional to 8,996.50, 13,494.75 and 3,153.11

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Solution

The fourth proportional to 8,996.50, 13,494.75 and 3,153.11 is: 4,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.50 : 13,494.75 = 3,153.11 : x
  2. Step 2: Convert to fraction form
    8,996.50/13,494.75 = 3,153.11/x
  3. Step 3: Cross multiply
    8,996.50x = 13,494.75 × 3,153.11
  4. Step 4: Simplify right side
    8,996.50x = 42,550,347.93
  5. Step 5: Solve for x
    x = 42,550,347.93/8,996.50
  6. Step 6: Final answer
    x = 4,729.66

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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.