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Finding the Fourth Proportional to 7,834.32, 11,751.94 and 2,837.78

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Solution

The fourth proportional to 7,834.32, 11,751.94 and 2,837.78 is: 4,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.32 : 11,751.94 = 2,837.78 : x
  2. Step 2: Convert to fraction form
    7,834.32/11,751.94 = 2,837.78/x
  3. Step 3: Cross multiply
    7,834.32x = 11,751.94 × 2,837.78
  4. Step 4: Simplify right side
    7,834.32x = 33,349,459.29
  5. Step 5: Solve for x
    x = 33,349,459.29/7,834.32
  6. Step 6: Final answer
    x = 4,256.84

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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.