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Finding the Fourth Proportional to 8,210.91, 12,312.49 and 2,661.17

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Solution

The fourth proportional to 8,210.91, 12,312.49 and 2,661.17 is: 3,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.91 : 12,312.49 = 2,661.17 : x
  2. Step 2: Convert to fraction form
    8,210.91/12,312.49 = 2,661.17/x
  3. Step 3: Cross multiply
    8,210.91x = 12,312.49 × 2,661.17
  4. Step 4: Simplify right side
    8,210.91x = 32,765,629.01
  5. Step 5: Solve for x
    x = 32,765,629.01/8,210.91
  6. Step 6: Final answer
    x = 3,990.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.