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Finding the Fourth Proportional to 10,407.62, 15,604.13 and 3,832.94

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Solution

The fourth proportional to 10,407.62, 15,604.13 and 3,832.94 is: 5,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.62 : 15,604.13 = 3,832.94 : x
  2. Step 2: Convert to fraction form
    10,407.62/15,604.13 = 3,832.94/x
  3. Step 3: Cross multiply
    10,407.62x = 15,604.13 × 3,832.94
  4. Step 4: Simplify right side
    10,407.62x = 59,809,596.86
  5. Step 5: Solve for x
    x = 59,809,596.86/10,407.62
  6. Step 6: Final answer
    x = 5,746.71

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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.