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Finding the Fourth Proportional to 7,311.66, 10,972.35 and 3,416.37

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Solution

The fourth proportional to 7,311.66, 10,972.35 and 3,416.37 is: 5,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.66 : 10,972.35 = 3,416.37 : x
  2. Step 2: Convert to fraction form
    7,311.66/10,972.35 = 3,416.37/x
  3. Step 3: Cross multiply
    7,311.66x = 10,972.35 × 3,416.37
  4. Step 4: Simplify right side
    7,311.66x = 37,485,607.37
  5. Step 5: Solve for x
    x = 37,485,607.37/7,311.66
  6. Step 6: Final answer
    x = 5,126.83

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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.