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Finding the Fourth Proportional to 10,923.50, 16,385.26 and 2,715.50

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Solution

The fourth proportional to 10,923.50, 16,385.26 and 2,715.50 is: 4,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.50 : 16,385.26 = 2,715.50 : x
  2. Step 2: Convert to fraction form
    10,923.50/16,385.26 = 2,715.50/x
  3. Step 3: Cross multiply
    10,923.50x = 16,385.26 × 2,715.50
  4. Step 4: Simplify right side
    10,923.50x = 44,494,173.53
  5. Step 5: Solve for x
    x = 44,494,173.53/10,923.50
  6. Step 6: Final answer
    x = 4,073.25

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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.