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Finding the Fourth Proportional to 7,071.93, 10,607.78 and 2,390.94

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Solution

The fourth proportional to 7,071.93, 10,607.78 and 2,390.94 is: 3,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.93 : 10,607.78 = 2,390.94 : x
  2. Step 2: Convert to fraction form
    7,071.93/10,607.78 = 2,390.94/x
  3. Step 3: Cross multiply
    7,071.93x = 10,607.78 × 2,390.94
  4. Step 4: Simplify right side
    7,071.93x = 25,362,553.56
  5. Step 5: Solve for x
    x = 25,362,553.56/7,071.93
  6. Step 6: Final answer
    x = 3,586.37

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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.