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Finding the Fourth Proportional to 8,064.16, 12,097.20 and 5,144.80

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Solution

The fourth proportional to 8,064.16, 12,097.20 and 5,144.80 is: 7,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.16 : 12,097.20 = 5,144.80 : x
  2. Step 2: Convert to fraction form
    8,064.16/12,097.20 = 5,144.80/x
  3. Step 3: Cross multiply
    8,064.16x = 12,097.20 × 5,144.80
  4. Step 4: Simplify right side
    8,064.16x = 62,237,674.56
  5. Step 5: Solve for x
    x = 62,237,674.56/8,064.16
  6. Step 6: Final answer
    x = 7,717.81

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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.