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Finding the Fourth Proportional to 10,923.66, 16,388.53 and 5,378.67

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Solution

The fourth proportional to 10,923.66, 16,388.53 and 5,378.67 is: 8,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.66 : 16,388.53 = 5,378.67 : x
  2. Step 2: Convert to fraction form
    10,923.66/16,388.53 = 5,378.67/x
  3. Step 3: Cross multiply
    10,923.66x = 16,388.53 × 5,378.67
  4. Step 4: Simplify right side
    10,923.66x = 88,148,481.21
  5. Step 5: Solve for x
    x = 88,148,481.21/10,923.66
  6. Step 6: Final answer
    x = 8,069.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.