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Finding the Fourth Proportional to 10,403.25, 15,606.43 and 3,828.93

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Solution

The fourth proportional to 10,403.25, 15,606.43 and 3,828.93 is: 5,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.25 : 15,606.43 = 3,828.93 : x
  2. Step 2: Convert to fraction form
    10,403.25/15,606.43 = 3,828.93/x
  3. Step 3: Cross multiply
    10,403.25x = 15,606.43 × 3,828.93
  4. Step 4: Simplify right side
    10,403.25x = 59,755,928.02
  5. Step 5: Solve for x
    x = 59,755,928.02/10,403.25
  6. Step 6: Final answer
    x = 5,743.97

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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.