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Finding the Fourth Proportional to 7,821.94, 11,709.33 and 5,043.09

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Solution

The fourth proportional to 7,821.94, 11,709.33 and 5,043.09 is: 7,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.94 : 11,709.33 = 5,043.09 : x
  2. Step 2: Convert to fraction form
    7,821.94/11,709.33 = 5,043.09/x
  3. Step 3: Cross multiply
    7,821.94x = 11,709.33 × 5,043.09
  4. Step 4: Simplify right side
    7,821.94x = 59,051,173.78
  5. Step 5: Solve for x
    x = 59,051,173.78/7,821.94
  6. Step 6: Final answer
    x = 7,549.43

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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.