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Finding the Fourth Proportional to 10,716.30, 16,077 and 4,472.85

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Solution

The fourth proportional to 10,716.30, 16,077 and 4,472.85 is: 6,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.30 : 16,077 = 4,472.85 : x
  2. Step 2: Convert to fraction form
    10,716.30/16,077 = 4,472.85/x
  3. Step 3: Cross multiply
    10,716.30x = 16,077 × 4,472.85
  4. Step 4: Simplify right side
    10,716.30x = 71,910,009.45
  5. Step 5: Solve for x
    x = 71,910,009.45/10,716.30
  6. Step 6: Final answer
    x = 6,710.34

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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.