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Finding the Fourth Proportional to 8,355.66, 12,534.90 and 2,809.54

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Solution

The fourth proportional to 8,355.66, 12,534.90 and 2,809.54 is: 4,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.66 : 12,534.90 = 2,809.54 : x
  2. Step 2: Convert to fraction form
    8,355.66/12,534.90 = 2,809.54/x
  3. Step 3: Cross multiply
    8,355.66x = 12,534.90 × 2,809.54
  4. Step 4: Simplify right side
    8,355.66x = 35,217,302.95
  5. Step 5: Solve for x
    x = 35,217,302.95/8,355.66
  6. Step 6: Final answer
    x = 4,214.78

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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.