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Finding the Fourth Proportional to 8,406.90, 12,591.24 and 4,027.50

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Solution

The fourth proportional to 8,406.90, 12,591.24 and 4,027.50 is: 6,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.90 : 12,591.24 = 4,027.50 : x
  2. Step 2: Convert to fraction form
    8,406.90/12,591.24 = 4,027.50/x
  3. Step 3: Cross multiply
    8,406.90x = 12,591.24 × 4,027.50
  4. Step 4: Simplify right side
    8,406.90x = 50,711,219.10
  5. Step 5: Solve for x
    x = 50,711,219.10/8,406.90
  6. Step 6: Final answer
    x = 6,032.09

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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.