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Finding the Fourth Proportional to 7,164.56, 9,882.60 and 5,177.36

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Solution

The fourth proportional to 7,164.56, 9,882.60 and 5,177.36 is: 7,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.56 : 9,882.60 = 5,177.36 : x
  2. Step 2: Convert to fraction form
    7,164.56/9,882.60 = 5,177.36/x
  3. Step 3: Cross multiply
    7,164.56x = 9,882.60 × 5,177.36
  4. Step 4: Simplify right side
    7,164.56x = 51,165,777.94
  5. Step 5: Solve for x
    x = 51,165,777.94/7,164.56
  6. Step 6: Final answer
    x = 7,141.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.