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Finding the Fourth Proportional to 7,071.28, 10,606.14 and 1,877.56

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Solution

The fourth proportional to 7,071.28, 10,606.14 and 1,877.56 is: 2,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.28 : 10,606.14 = 1,877.56 : x
  2. Step 2: Convert to fraction form
    7,071.28/10,606.14 = 1,877.56/x
  3. Step 3: Cross multiply
    7,071.28x = 10,606.14 × 1,877.56
  4. Step 4: Simplify right side
    7,071.28x = 19,913,664.22
  5. Step 5: Solve for x
    x = 19,913,664.22/7,071.28
  6. Step 6: Final answer
    x = 2,816.13

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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.