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Finding the Fourth Proportional to 8,606.00, 12,906.19 and 3,340.64

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Solution

The fourth proportional to 8,606.00, 12,906.19 and 3,340.64 is: 5,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.00 : 12,906.19 = 3,340.64 : x
  2. Step 2: Convert to fraction form
    8,606.00/12,906.19 = 3,340.64/x
  3. Step 3: Cross multiply
    8,606.00x = 12,906.19 × 3,340.64
  4. Step 4: Simplify right side
    8,606.00x = 43,114,952.21
  5. Step 5: Solve for x
    x = 43,114,952.21/8,606.00
  6. Step 6: Final answer
    x = 5,009.87

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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.