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Finding the Fourth Proportional to 11,400.96, 15,720.93 and 7,414.68

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Solution

The fourth proportional to 11,400.96, 15,720.93 and 7,414.68 is: 10,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.96 : 15,720.93 = 7,414.68 : x
  2. Step 2: Convert to fraction form
    11,400.96/15,720.93 = 7,414.68/x
  3. Step 3: Cross multiply
    11,400.96x = 15,720.93 × 7,414.68
  4. Step 4: Simplify right side
    11,400.96x = 116,565,665.25
  5. Step 5: Solve for x
    x = 116,565,665.25/11,400.96
  6. Step 6: Final answer
    x = 10,224.20

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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.