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Finding the Fourth Proportional to 10,472.76, 15,710.49 and 3,453.48

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Solution

The fourth proportional to 10,472.76, 15,710.49 and 3,453.48 is: 5,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.76 : 15,710.49 = 3,453.48 : x
  2. Step 2: Convert to fraction form
    10,472.76/15,710.49 = 3,453.48/x
  3. Step 3: Cross multiply
    10,472.76x = 15,710.49 × 3,453.48
  4. Step 4: Simplify right side
    10,472.76x = 54,255,863.01
  5. Step 5: Solve for x
    x = 54,255,863.01/10,472.76
  6. Step 6: Final answer
    x = 5,180.67

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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.