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Finding the Fourth Proportional to 8,645.22, 12,971.07 and 3,451.50

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Solution

The fourth proportional to 8,645.22, 12,971.07 and 3,451.50 is: 5,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.22 : 12,971.07 = 3,451.50 : x
  2. Step 2: Convert to fraction form
    8,645.22/12,971.07 = 3,451.50/x
  3. Step 3: Cross multiply
    8,645.22x = 12,971.07 × 3,451.50
  4. Step 4: Simplify right side
    8,645.22x = 44,769,648.11
  5. Step 5: Solve for x
    x = 44,769,648.11/8,645.22
  6. Step 6: Final answer
    x = 5,178.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.