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Finding the Fourth Proportional to 11,353.37, 15,659.27 and 7,817.72

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Solution

The fourth proportional to 11,353.37, 15,659.27 and 7,817.72 is: 10,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.37 : 15,659.27 = 7,817.72 : x
  2. Step 2: Convert to fraction form
    11,353.37/15,659.27 = 7,817.72/x
  3. Step 3: Cross multiply
    11,353.37x = 15,659.27 × 7,817.72
  4. Step 4: Simplify right side
    11,353.37x = 122,419,788.26
  5. Step 5: Solve for x
    x = 122,419,788.26/11,353.37
  6. Step 6: Final answer
    x = 10,782.68

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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.