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Finding the Fourth Proportional to 7,071.06, 10,606.79 and 1,876.94

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Solution

The fourth proportional to 7,071.06, 10,606.79 and 1,876.94 is: 2,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.06 : 10,606.79 = 1,876.94 : x
  2. Step 2: Convert to fraction form
    7,071.06/10,606.79 = 1,876.94/x
  3. Step 3: Cross multiply
    7,071.06x = 10,606.79 × 1,876.94
  4. Step 4: Simplify right side
    7,071.06x = 19,908,308.42
  5. Step 5: Solve for x
    x = 19,908,308.42/7,071.06
  6. Step 6: Final answer
    x = 2,815.46

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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.