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Finding the Fourth Proportional to 7,071.16, 10,606.72 and 1,806.16

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Solution

The fourth proportional to 7,071.16, 10,606.72 and 1,806.16 is: 2,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.16 : 10,606.72 = 1,806.16 : x
  2. Step 2: Convert to fraction form
    7,071.16/10,606.72 = 1,806.16/x
  3. Step 3: Cross multiply
    7,071.16x = 10,606.72 × 1,806.16
  4. Step 4: Simplify right side
    7,071.16x = 19,157,424.36
  5. Step 5: Solve for x
    x = 19,157,424.36/7,071.16
  6. Step 6: Final answer
    x = 2,709.24

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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.