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Finding the Fourth Proportional to 7,071.96, 10,607.93 and 3,173.63

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Solution

The fourth proportional to 7,071.96, 10,607.93 and 3,173.63 is: 4,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.96 : 10,607.93 = 3,173.63 : x
  2. Step 2: Convert to fraction form
    7,071.96/10,607.93 = 3,173.63/x
  3. Step 3: Cross multiply
    7,071.96x = 10,607.93 × 3,173.63
  4. Step 4: Simplify right side
    7,071.96x = 33,665,575.98
  5. Step 5: Solve for x
    x = 33,665,575.98/7,071.96
  6. Step 6: Final answer
    x = 4,760.43

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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.