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Finding the Fourth Proportional to 11,403.72, 15,735.99 and 7,821.74

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Solution

The fourth proportional to 11,403.72, 15,735.99 and 7,821.74 is: 10,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.72 : 15,735.99 = 7,821.74 : x
  2. Step 2: Convert to fraction form
    11,403.72/15,735.99 = 7,821.74/x
  3. Step 3: Cross multiply
    11,403.72x = 15,735.99 × 7,821.74
  4. Step 4: Simplify right side
    11,403.72x = 123,082,704.63
  5. Step 5: Solve for x
    x = 123,082,704.63/11,403.72
  6. Step 6: Final answer
    x = 10,793.21

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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.