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Finding the Fourth Proportional to 10,559.24, 14,571.12 and 5,843.24

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Solution

The fourth proportional to 10,559.24, 14,571.12 and 5,843.24 is: 8,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.24 : 14,571.12 = 5,843.24 : x
  2. Step 2: Convert to fraction form
    10,559.24/14,571.12 = 5,843.24/x
  3. Step 3: Cross multiply
    10,559.24x = 14,571.12 × 5,843.24
  4. Step 4: Simplify right side
    10,559.24x = 85,142,551.23
  5. Step 5: Solve for x
    x = 85,142,551.23/10,559.24
  6. Step 6: Final answer
    x = 8,063.32

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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.