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Finding the Fourth Proportional to 7,071.66, 10,607.63 and 2,141.28

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Solution

The fourth proportional to 7,071.66, 10,607.63 and 2,141.28 is: 3,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.66 : 10,607.63 = 2,141.28 : x
  2. Step 2: Convert to fraction form
    7,071.66/10,607.63 = 2,141.28/x
  3. Step 3: Cross multiply
    7,071.66x = 10,607.63 × 2,141.28
  4. Step 4: Simplify right side
    7,071.66x = 22,713,895.26
  5. Step 5: Solve for x
    x = 22,713,895.26/7,071.66
  6. Step 6: Final answer
    x = 3,211.96

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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.