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Finding the Fourth Proportional to 8,209.10, 12,312.26 and 2,661.64

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Solution

The fourth proportional to 8,209.10, 12,312.26 and 2,661.64 is: 3,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.10 : 12,312.26 = 2,661.64 : x
  2. Step 2: Convert to fraction form
    8,209.10/12,312.26 = 2,661.64/x
  3. Step 3: Cross multiply
    8,209.10x = 12,312.26 × 2,661.64
  4. Step 4: Simplify right side
    8,209.10x = 32,770,803.71
  5. Step 5: Solve for x
    x = 32,770,803.71/8,209.10
  6. Step 6: Final answer
    x = 3,992.01

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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.