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Finding the Fourth Proportional to 10,910.84, 16,371.12 and 5,715.50

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Solution

The fourth proportional to 10,910.84, 16,371.12 and 5,715.50 is: 8,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.84 : 16,371.12 = 5,715.50 : x
  2. Step 2: Convert to fraction form
    10,910.84/16,371.12 = 5,715.50/x
  3. Step 3: Cross multiply
    10,910.84x = 16,371.12 × 5,715.50
  4. Step 4: Simplify right side
    10,910.84x = 93,569,136.36
  5. Step 5: Solve for x
    x = 93,569,136.36/10,910.84
  6. Step 6: Final answer
    x = 8,575.80

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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.