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Finding the Fourth Proportional to 7,832.30, 11,754.29 and 3,152.36

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Solution

The fourth proportional to 7,832.30, 11,754.29 and 3,152.36 is: 4,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.30 : 11,754.29 = 3,152.36 : x
  2. Step 2: Convert to fraction form
    7,832.30/11,754.29 = 3,152.36/x
  3. Step 3: Cross multiply
    7,832.30x = 11,754.29 × 3,152.36
  4. Step 4: Simplify right side
    7,832.30x = 37,053,702.73
  5. Step 5: Solve for x
    x = 37,053,702.73/7,832.30
  6. Step 6: Final answer
    x = 4,730.88

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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.