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Finding the Fourth Proportional to 7,357.96, 11,035.28 and 2,164.24

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Solution

The fourth proportional to 7,357.96, 11,035.28 and 2,164.24 is: 3,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.96 : 11,035.28 = 2,164.24 : x
  2. Step 2: Convert to fraction form
    7,357.96/11,035.28 = 2,164.24/x
  3. Step 3: Cross multiply
    7,357.96x = 11,035.28 × 2,164.24
  4. Step 4: Simplify right side
    7,357.96x = 23,882,994.39
  5. Step 5: Solve for x
    x = 23,882,994.39/7,357.96
  6. Step 6: Final answer
    x = 3,245.87

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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.