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Finding the Fourth Proportional to 10,715.87, 16,076.36 and 4,472.41

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Solution

The fourth proportional to 10,715.87, 16,076.36 and 4,472.41 is: 6,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.87 : 16,076.36 = 4,472.41 : x
  2. Step 2: Convert to fraction form
    10,715.87/16,076.36 = 4,472.41/x
  3. Step 3: Cross multiply
    10,715.87x = 16,076.36 × 4,472.41
  4. Step 4: Simplify right side
    10,715.87x = 71,899,970.48
  5. Step 5: Solve for x
    x = 71,899,970.48/10,715.87
  6. Step 6: Final answer
    x = 6,709.67

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