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Finding the Fourth Proportional to 11,865.84, 17,803.55 and 4,472.42

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Solution

The fourth proportional to 11,865.84, 17,803.55 and 4,472.42 is: 6,710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.84 : 17,803.55 = 4,472.42 : x
  2. Step 2: Convert to fraction form
    11,865.84/17,803.55 = 4,472.42/x
  3. Step 3: Cross multiply
    11,865.84x = 17,803.55 × 4,472.42
  4. Step 4: Simplify right side
    11,865.84x = 79,624,850.10
  5. Step 5: Solve for x
    x = 79,624,850.10/11,865.84
  6. Step 6: Final answer
    x = 6,710.43

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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.