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Finding the Fourth Proportional to 6,944.58, 10,417.28 and 5,311.17

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Solution

The fourth proportional to 6,944.58, 10,417.28 and 5,311.17 is: 7,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.58 : 10,417.28 = 5,311.17 : x
  2. Step 2: Convert to fraction form
    6,944.58/10,417.28 = 5,311.17/x
  3. Step 3: Cross multiply
    6,944.58x = 10,417.28 × 5,311.17
  4. Step 4: Simplify right side
    6,944.58x = 55,327,918.46
  5. Step 5: Solve for x
    x = 55,327,918.46/6,944.58
  6. Step 6: Final answer
    x = 7,967.06

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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.