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Finding the Fourth Proportional to 8,021.34, 12,012.39 and 4,902.66

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Solution

The fourth proportional to 8,021.34, 12,012.39 and 4,902.66 is: 7,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.34 : 12,012.39 = 4,902.66 : x
  2. Step 2: Convert to fraction form
    8,021.34/12,012.39 = 4,902.66/x
  3. Step 3: Cross multiply
    8,021.34x = 12,012.39 × 4,902.66
  4. Step 4: Simplify right side
    8,021.34x = 58,892,663.96
  5. Step 5: Solve for x
    x = 58,892,663.96/8,021.34
  6. Step 6: Final answer
    x = 7,342.00

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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.