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Finding the Fourth Proportional to 8,206.32, 12,308.20 and 4,045.20

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Solution

The fourth proportional to 8,206.32, 12,308.20 and 4,045.20 is: 6,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.32 : 12,308.20 = 4,045.20 : x
  2. Step 2: Convert to fraction form
    8,206.32/12,308.20 = 4,045.20/x
  3. Step 3: Cross multiply
    8,206.32x = 12,308.20 × 4,045.20
  4. Step 4: Simplify right side
    8,206.32x = 49,789,130.64
  5. Step 5: Solve for x
    x = 49,789,130.64/8,206.32
  6. Step 6: Final answer
    x = 6,067.17

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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.