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Finding the Fourth Proportional to 7,832.70, 11,753.42 and 3,153.06

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Solution

The fourth proportional to 7,832.70, 11,753.42 and 3,153.06 is: 4,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.70 : 11,753.42 = 3,153.06 : x
  2. Step 2: Convert to fraction form
    7,832.70/11,753.42 = 3,153.06/x
  3. Step 3: Cross multiply
    7,832.70x = 11,753.42 × 3,153.06
  4. Step 4: Simplify right side
    7,832.70x = 37,059,222.70
  5. Step 5: Solve for x
    x = 37,059,222.70/7,832.70
  6. Step 6: Final answer
    x = 4,731.35

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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.