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Finding the Fourth Proportional to 8,411.60, 12,617.40 and 3,481.35

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Solution

The fourth proportional to 8,411.60, 12,617.40 and 3,481.35 is: 5,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.60 : 12,617.40 = 3,481.35 : x
  2. Step 2: Convert to fraction form
    8,411.60/12,617.40 = 3,481.35/x
  3. Step 3: Cross multiply
    8,411.60x = 12,617.40 × 3,481.35
  4. Step 4: Simplify right side
    8,411.60x = 43,925,628.32
  5. Step 5: Solve for x
    x = 43,925,628.32/8,411.60
  6. Step 6: Final answer
    x = 5,222.03

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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.