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Finding the Fourth Proportional to 8,206.16, 12,311.02 and 2,660.06

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Solution

The fourth proportional to 8,206.16, 12,311.02 and 2,660.06 is: 3,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.16 : 12,311.02 = 2,660.06 : x
  2. Step 2: Convert to fraction form
    8,206.16/12,311.02 = 2,660.06/x
  3. Step 3: Cross multiply
    8,206.16x = 12,311.02 × 2,660.06
  4. Step 4: Simplify right side
    8,206.16x = 32,748,051.86
  5. Step 5: Solve for x
    x = 32,748,051.86/8,206.16
  6. Step 6: Final answer
    x = 3,990.67

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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.