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Finding the Fourth Proportional to 10,409.58, 15,614.40 and 3,832.92

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Solution

The fourth proportional to 10,409.58, 15,614.40 and 3,832.92 is: 5,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.58 : 15,614.40 = 3,832.92 : x
  2. Step 2: Convert to fraction form
    10,409.58/15,614.40 = 3,832.92/x
  3. Step 3: Cross multiply
    10,409.58x = 15,614.40 × 3,832.92
  4. Step 4: Simplify right side
    10,409.58x = 59,848,746.05
  5. Step 5: Solve for x
    x = 59,848,746.05/10,409.58
  6. Step 6: Final answer
    x = 5,749.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.