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Finding the Fourth Proportional to 11,564.68, 15,952.26 and 7,375.36

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Solution

The fourth proportional to 11,564.68, 15,952.26 and 7,375.36 is: 10,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.68 : 15,952.26 = 7,375.36 : x
  2. Step 2: Convert to fraction form
    11,564.68/15,952.26 = 7,375.36/x
  3. Step 3: Cross multiply
    11,564.68x = 15,952.26 × 7,375.36
  4. Step 4: Simplify right side
    11,564.68x = 117,653,660.31
  5. Step 5: Solve for x
    x = 117,653,660.31/11,564.68
  6. Step 6: Final answer
    x = 10,173.53

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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.