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Finding the Fourth Proportional to 8,200.40, 12,301.56 and 3,005.12

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Solution

The fourth proportional to 8,200.40, 12,301.56 and 3,005.12 is: 4,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.40 : 12,301.56 = 3,005.12 : x
  2. Step 2: Convert to fraction form
    8,200.40/12,301.56 = 3,005.12/x
  3. Step 3: Cross multiply
    8,200.40x = 12,301.56 × 3,005.12
  4. Step 4: Simplify right side
    8,200.40x = 36,967,663.99
  5. Step 5: Solve for x
    x = 36,967,663.99/8,200.40
  6. Step 6: Final answer
    x = 4,508.03

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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.