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Finding the Fourth Proportional to 8,206.99, 12,312.45 and 2,660.35

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Solution

The fourth proportional to 8,206.99, 12,312.45 and 2,660.35 is: 3,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.99 : 12,312.45 = 2,660.35 : x
  2. Step 2: Convert to fraction form
    8,206.99/12,312.45 = 2,660.35/x
  3. Step 3: Cross multiply
    8,206.99x = 12,312.45 × 2,660.35
  4. Step 4: Simplify right side
    8,206.99x = 32,755,426.36
  5. Step 5: Solve for x
    x = 32,755,426.36/8,206.99
  6. Step 6: Final answer
    x = 3,991.16

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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.