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Finding the Fourth Proportional to 10,487.34, 14,472.99 and 5,771.82

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Solution

The fourth proportional to 10,487.34, 14,472.99 and 5,771.82 is: 7,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.34 : 14,472.99 = 5,771.82 : x
  2. Step 2: Convert to fraction form
    10,487.34/14,472.99 = 5,771.82/x
  3. Step 3: Cross multiply
    10,487.34x = 14,472.99 × 5,771.82
  4. Step 4: Simplify right side
    10,487.34x = 83,535,493.14
  5. Step 5: Solve for x
    x = 83,535,493.14/10,487.34
  6. Step 6: Final answer
    x = 7,965.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.