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Finding the Fourth Proportional to 7,071.42, 10,607.34 and 3,374.04

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Solution

The fourth proportional to 7,071.42, 10,607.34 and 3,374.04 is: 5,061.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.42 : 10,607.34 = 3,374.04 : x
  2. Step 2: Convert to fraction form
    7,071.42/10,607.34 = 3,374.04/x
  3. Step 3: Cross multiply
    7,071.42x = 10,607.34 × 3,374.04
  4. Step 4: Simplify right side
    7,071.42x = 35,789,589.45
  5. Step 5: Solve for x
    x = 35,789,589.45/7,071.42
  6. Step 6: Final answer
    x = 5,061.16

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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.