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Finding the Fourth Proportional to 8,410.86, 12,617.77 and 3,477.74

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Solution

The fourth proportional to 8,410.86, 12,617.77 and 3,477.74 is: 5,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.86 : 12,617.77 = 3,477.74 : x
  2. Step 2: Convert to fraction form
    8,410.86/12,617.77 = 3,477.74/x
  3. Step 3: Cross multiply
    8,410.86x = 12,617.77 × 3,477.74
  4. Step 4: Simplify right side
    8,410.86x = 43,881,260.35
  5. Step 5: Solve for x
    x = 43,881,260.35/8,410.86
  6. Step 6: Final answer
    x = 5,217.21

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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.