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Finding the Fourth Proportional to 10,923.23, 16,357.05 and 7,219.91

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Solution

The fourth proportional to 10,923.23, 16,357.05 and 7,219.91 is: 10,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.23 : 16,357.05 = 7,219.91 : x
  2. Step 2: Convert to fraction form
    10,923.23/16,357.05 = 7,219.91/x
  3. Step 3: Cross multiply
    10,923.23x = 16,357.05 × 7,219.91
  4. Step 4: Simplify right side
    10,923.23x = 118,096,469.76
  5. Step 5: Solve for x
    x = 118,096,469.76/10,923.23
  6. Step 6: Final answer
    x = 10,811.49

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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.