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Finding the Fourth Proportional to 8,210.97, 11,331.17 and 4,674.20

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Solution

The fourth proportional to 8,210.97, 11,331.17 and 4,674.20 is: 6,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.97 : 11,331.17 = 4,674.20 : x
  2. Step 2: Convert to fraction form
    8,210.97/11,331.17 = 4,674.20/x
  3. Step 3: Cross multiply
    8,210.97x = 11,331.17 × 4,674.20
  4. Step 4: Simplify right side
    8,210.97x = 52,964,074.79
  5. Step 5: Solve for x
    x = 52,964,074.79/8,210.97
  6. Step 6: Final answer
    x = 6,450.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.