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Finding the Fourth Proportional to 11,143.63, 15,378.22 and 6,107.73

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Solution

The fourth proportional to 11,143.63, 15,378.22 and 6,107.73 is: 8,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.63 : 15,378.22 = 6,107.73 : x
  2. Step 2: Convert to fraction form
    11,143.63/15,378.22 = 6,107.73/x
  3. Step 3: Cross multiply
    11,143.63x = 15,378.22 × 6,107.73
  4. Step 4: Simplify right side
    11,143.63x = 93,926,015.64
  5. Step 5: Solve for x
    x = 93,926,015.64/11,143.63
  6. Step 6: Final answer
    x = 8,428.67

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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.