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Finding the Fourth Proportional to 8,512.02, 12,767.76 and 2,356.02

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Solution

The fourth proportional to 8,512.02, 12,767.76 and 2,356.02 is: 3,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.02 : 12,767.76 = 2,356.02 : x
  2. Step 2: Convert to fraction form
    8,512.02/12,767.76 = 2,356.02/x
  3. Step 3: Cross multiply
    8,512.02x = 12,767.76 × 2,356.02
  4. Step 4: Simplify right side
    8,512.02x = 30,081,097.92
  5. Step 5: Solve for x
    x = 30,081,097.92/8,512.02
  6. Step 6: Final answer
    x = 3,533.96

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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.