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Finding the Fourth Proportional to 8,411, 12,620.08 and 3,484.22

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Solution

The fourth proportional to 8,411, 12,620.08 and 3,484.22 is: 5,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411 : 12,620.08 = 3,484.22 : x
  2. Step 2: Convert to fraction form
    8,411/12,620.08 = 3,484.22/x
  3. Step 3: Cross multiply
    8,411x = 12,620.08 × 3,484.22
  4. Step 4: Simplify right side
    8,411x = 43,971,135.14
  5. Step 5: Solve for x
    x = 43,971,135.14/8,411
  6. Step 6: Final answer
    x = 5,227.81

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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.