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Finding the Fourth Proportional to 8,817.50, 13,221.66 and 2,972

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Solution

The fourth proportional to 8,817.50, 13,221.66 and 2,972 is: 4,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,817.50 : 13,221.66 = 2,972 : x
  2. Step 2: Convert to fraction form
    8,817.50/13,221.66 = 2,972/x
  3. Step 3: Cross multiply
    8,817.50x = 13,221.66 × 2,972
  4. Step 4: Simplify right side
    8,817.50x = 39,294,773.52
  5. Step 5: Solve for x
    x = 39,294,773.52/8,817.50
  6. Step 6: Final answer
    x = 4,456.45

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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.