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Finding the Fourth Proportional to 7,835.50, 11,754.06 and 3,157.12

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Solution

The fourth proportional to 7,835.50, 11,754.06 and 3,157.12 is: 4,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.50 : 11,754.06 = 3,157.12 : x
  2. Step 2: Convert to fraction form
    7,835.50/11,754.06 = 3,157.12/x
  3. Step 3: Cross multiply
    7,835.50x = 11,754.06 × 3,157.12
  4. Step 4: Simplify right side
    7,835.50x = 37,108,977.91
  5. Step 5: Solve for x
    x = 37,108,977.91/7,835.50
  6. Step 6: Final answer
    x = 4,736.01

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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.