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Finding the Fourth Proportional to 8,096.26, 12,135.74 and 5,780.74

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Solution

The fourth proportional to 8,096.26, 12,135.74 and 5,780.74 is: 8,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.26 : 12,135.74 = 5,780.74 : x
  2. Step 2: Convert to fraction form
    8,096.26/12,135.74 = 5,780.74/x
  3. Step 3: Cross multiply
    8,096.26x = 12,135.74 × 5,780.74
  4. Step 4: Simplify right side
    8,096.26x = 70,153,557.65
  5. Step 5: Solve for x
    x = 70,153,557.65/8,096.26
  6. Step 6: Final answer
    x = 8,664.93

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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.