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Finding the Fourth Proportional to 7,767.60, 11,650.32 and 2,837.04

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Solution

The fourth proportional to 7,767.60, 11,650.32 and 2,837.04 is: 4,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.60 : 11,650.32 = 2,837.04 : x
  2. Step 2: Convert to fraction form
    7,767.60/11,650.32 = 2,837.04/x
  3. Step 3: Cross multiply
    7,767.60x = 11,650.32 × 2,837.04
  4. Step 4: Simplify right side
    7,767.60x = 33,052,423.85
  5. Step 5: Solve for x
    x = 33,052,423.85/7,767.60
  6. Step 6: Final answer
    x = 4,255.17

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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.