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Finding the Fourth Proportional to 10,584.01, 15,879.57 and 4,012.03

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Solution

The fourth proportional to 10,584.01, 15,879.57 and 4,012.03 is: 6,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.01 : 15,879.57 = 4,012.03 : x
  2. Step 2: Convert to fraction form
    10,584.01/15,879.57 = 4,012.03/x
  3. Step 3: Cross multiply
    10,584.01x = 15,879.57 × 4,012.03
  4. Step 4: Simplify right side
    10,584.01x = 63,709,311.23
  5. Step 5: Solve for x
    x = 63,709,311.23/10,584.01
  6. Step 6: Final answer
    x = 6,019.39

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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.