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Finding the Fourth Proportional to 11,342.62, 15,647.07 and 7,365.94

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Solution

The fourth proportional to 11,342.62, 15,647.07 and 7,365.94 is: 10,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.62 : 15,647.07 = 7,365.94 : x
  2. Step 2: Convert to fraction form
    11,342.62/15,647.07 = 7,365.94/x
  3. Step 3: Cross multiply
    11,342.62x = 15,647.07 × 7,365.94
  4. Step 4: Simplify right side
    11,342.62x = 115,255,378.80
  5. Step 5: Solve for x
    x = 115,255,378.80/11,342.62
  6. Step 6: Final answer
    x = 10,161.27

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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.