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Finding the Fourth Proportional to 8,910.86, 13,362.20 and 2,584.30

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Solution

The fourth proportional to 8,910.86, 13,362.20 and 2,584.30 is: 3,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,910.86 : 13,362.20 = 2,584.30 : x
  2. Step 2: Convert to fraction form
    8,910.86/13,362.20 = 2,584.30/x
  3. Step 3: Cross multiply
    8,910.86x = 13,362.20 × 2,584.30
  4. Step 4: Simplify right side
    8,910.86x = 34,531,933.46
  5. Step 5: Solve for x
    x = 34,531,933.46/8,910.86
  6. Step 6: Final answer
    x = 3,875.26

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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.