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Finding the Fourth Proportional to 7,937.40, 11,906.10 and 4,438.20

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Solution

The fourth proportional to 7,937.40, 11,906.10 and 4,438.20 is: 6,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.40 : 11,906.10 = 4,438.20 : x
  2. Step 2: Convert to fraction form
    7,937.40/11,906.10 = 4,438.20/x
  3. Step 3: Cross multiply
    7,937.40x = 11,906.10 × 4,438.20
  4. Step 4: Simplify right side
    7,937.40x = 52,841,653.02
  5. Step 5: Solve for x
    x = 52,841,653.02/7,937.40
  6. Step 6: Final answer
    x = 6,657.30

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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.