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Finding the Fourth Proportional to 7,277.81, 10,043.38 and 3,965.81

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Solution

The fourth proportional to 7,277.81, 10,043.38 and 3,965.81 is: 5,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.81 : 10,043.38 = 3,965.81 : x
  2. Step 2: Convert to fraction form
    7,277.81/10,043.38 = 3,965.81/x
  3. Step 3: Cross multiply
    7,277.81x = 10,043.38 × 3,965.81
  4. Step 4: Simplify right side
    7,277.81x = 39,830,136.84
  5. Step 5: Solve for x
    x = 39,830,136.84/7,277.81
  6. Step 6: Final answer
    x = 5,472.82

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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.