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Finding the Fourth Proportional to 11,155.72, 15,399.83 and 7,811.68

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Solution

The fourth proportional to 11,155.72, 15,399.83 and 7,811.68 is: 10,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,155.72 : 15,399.83 = 7,811.68 : x
  2. Step 2: Convert to fraction form
    11,155.72/15,399.83 = 7,811.68/x
  3. Step 3: Cross multiply
    11,155.72x = 15,399.83 × 7,811.68
  4. Step 4: Simplify right side
    11,155.72x = 120,298,544.01
  5. Step 5: Solve for x
    x = 120,298,544.01/11,155.72
  6. Step 6: Final answer
    x = 10,783.58

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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.