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Finding the Fourth Proportional to 10,155.14, 14,008.74 and 8,268.86

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Solution

The fourth proportional to 10,155.14, 14,008.74 and 8,268.86 is: 11,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.14 : 14,008.74 = 8,268.86 : x
  2. Step 2: Convert to fraction form
    10,155.14/14,008.74 = 8,268.86/x
  3. Step 3: Cross multiply
    10,155.14x = 14,008.74 × 8,268.86
  4. Step 4: Simplify right side
    10,155.14x = 115,836,309.84
  5. Step 5: Solve for x
    x = 115,836,309.84/10,155.14
  6. Step 6: Final answer
    x = 11,406.67

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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.