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Finding the Fourth Proportional to 11,144.34, 15,378.48 and 6,107.67

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Solution

The fourth proportional to 11,144.34, 15,378.48 and 6,107.67 is: 8,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.34 : 15,378.48 = 6,107.67 : x
  2. Step 2: Convert to fraction form
    11,144.34/15,378.48 = 6,107.67/x
  3. Step 3: Cross multiply
    11,144.34x = 15,378.48 × 6,107.67
  4. Step 4: Simplify right side
    11,144.34x = 93,926,680.94
  5. Step 5: Solve for x
    x = 93,926,680.94/11,144.34
  6. Step 6: Final answer
    x = 8,428.20

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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.