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Finding the Fourth Proportional to 11,632.72, 16,057.56 and 6,919.60

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Solution

The fourth proportional to 11,632.72, 16,057.56 and 6,919.60 is: 9,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.72 : 16,057.56 = 6,919.60 : x
  2. Step 2: Convert to fraction form
    11,632.72/16,057.56 = 6,919.60/x
  3. Step 3: Cross multiply
    11,632.72x = 16,057.56 × 6,919.60
  4. Step 4: Simplify right side
    11,632.72x = 111,111,892.18
  5. Step 5: Solve for x
    x = 111,111,892.18/11,632.72
  6. Step 6: Final answer
    x = 9,551.67

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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.