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Finding the Fourth Proportional to 7,832.34, 11,735.28 and 3,878.31

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Solution

The fourth proportional to 7,832.34, 11,735.28 and 3,878.31 is: 5,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.34 : 11,735.28 = 3,878.31 : x
  2. Step 2: Convert to fraction form
    7,832.34/11,735.28 = 3,878.31/x
  3. Step 3: Cross multiply
    7,832.34x = 11,735.28 × 3,878.31
  4. Step 4: Simplify right side
    7,832.34x = 45,513,053.78
  5. Step 5: Solve for x
    x = 45,513,053.78/7,832.34
  6. Step 6: Final answer
    x = 5,810.91

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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.