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Finding the Fourth Proportional to 8,461.14, 12,684.18 and 4,016.06

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Solution

The fourth proportional to 8,461.14, 12,684.18 and 4,016.06 is: 6,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.14 : 12,684.18 = 4,016.06 : x
  2. Step 2: Convert to fraction form
    8,461.14/12,684.18 = 4,016.06/x
  3. Step 3: Cross multiply
    8,461.14x = 12,684.18 × 4,016.06
  4. Step 4: Simplify right side
    8,461.14x = 50,940,475.89
  5. Step 5: Solve for x
    x = 50,940,475.89/8,461.14
  6. Step 6: Final answer
    x = 6,020.52

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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.