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Finding the Fourth Proportional to 7,388.16, 10,189.44 and 5,813.76

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Solution

The fourth proportional to 7,388.16, 10,189.44 and 5,813.76 is: 8,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.16 : 10,189.44 = 5,813.76 : x
  2. Step 2: Convert to fraction form
    7,388.16/10,189.44 = 5,813.76/x
  3. Step 3: Cross multiply
    7,388.16x = 10,189.44 × 5,813.76
  4. Step 4: Simplify right side
    7,388.16x = 59,238,958.69
  5. Step 5: Solve for x
    x = 59,238,958.69/7,388.16
  6. Step 6: Final answer
    x = 8,018.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.