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Finding the Fourth Proportional to 8,096.01, 12,135.36 and 5,780.49

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Solution

The fourth proportional to 8,096.01, 12,135.36 and 5,780.49 is: 8,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.01 : 12,135.36 = 5,780.49 : x
  2. Step 2: Convert to fraction form
    8,096.01/12,135.36 = 5,780.49/x
  3. Step 3: Cross multiply
    8,096.01x = 12,135.36 × 5,780.49
  4. Step 4: Simplify right side
    8,096.01x = 70,148,327.13
  5. Step 5: Solve for x
    x = 70,148,327.13/8,096.01
  6. Step 6: Final answer
    x = 8,664.56

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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.