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Finding the Fourth Proportional to 7,086.48, 10,696.28 and 7,086.48

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Solution

The fourth proportional to 7,086.48, 10,696.28 and 7,086.48 is: 10,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.48 : 10,696.28 = 7,086.48 : x
  2. Step 2: Convert to fraction form
    7,086.48/10,696.28 = 7,086.48/x
  3. Step 3: Cross multiply
    7,086.48x = 10,696.28 × 7,086.48
  4. Step 4: Simplify right side
    7,086.48x = 75,798,974.29
  5. Step 5: Solve for x
    x = 75,798,974.29/7,086.48
  6. Step 6: Final answer
    x = 10,696.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.