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Finding the Fourth Proportional to 7,071.10, 10,606.65 and 3,375.93

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Solution

The fourth proportional to 7,071.10, 10,606.65 and 3,375.93 is: 5,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.10 : 10,606.65 = 3,375.93 : x
  2. Step 2: Convert to fraction form
    7,071.10/10,606.65 = 3,375.93/x
  3. Step 3: Cross multiply
    7,071.10x = 10,606.65 × 3,375.93
  4. Step 4: Simplify right side
    7,071.10x = 35,807,275.39
  5. Step 5: Solve for x
    x = 35,807,275.39/7,071.10
  6. Step 6: Final answer
    x = 5,063.89

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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.