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Finding the Fourth Proportional to 8,204.16, 12,308.04 and 2,658.06

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Solution

The fourth proportional to 8,204.16, 12,308.04 and 2,658.06 is: 3,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.16 : 12,308.04 = 2,658.06 : x
  2. Step 2: Convert to fraction form
    8,204.16/12,308.04 = 2,658.06/x
  3. Step 3: Cross multiply
    8,204.16x = 12,308.04 × 2,658.06
  4. Step 4: Simplify right side
    8,204.16x = 32,715,508.80
  5. Step 5: Solve for x
    x = 32,715,508.80/8,204.16
  6. Step 6: Final answer
    x = 3,987.67

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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.