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Finding the Fourth Proportional to 8,267.00, 12,408.26 and 4,564.08

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Solution

The fourth proportional to 8,267.00, 12,408.26 and 4,564.08 is: 6,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.00 : 12,408.26 = 4,564.08 : x
  2. Step 2: Convert to fraction form
    8,267.00/12,408.26 = 4,564.08/x
  3. Step 3: Cross multiply
    8,267.00x = 12,408.26 × 4,564.08
  4. Step 4: Simplify right side
    8,267.00x = 56,632,268.48
  5. Step 5: Solve for x
    x = 56,632,268.48/8,267.00
  6. Step 6: Final answer
    x = 6,850.41

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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.