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Finding the Fourth Proportional to 10,581.90, 15,879.42 and 4,007.22

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Solution

The fourth proportional to 10,581.90, 15,879.42 and 4,007.22 is: 6,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.90 : 15,879.42 = 4,007.22 : x
  2. Step 2: Convert to fraction form
    10,581.90/15,879.42 = 4,007.22/x
  3. Step 3: Cross multiply
    10,581.90x = 15,879.42 × 4,007.22
  4. Step 4: Simplify right side
    10,581.90x = 63,632,329.41
  5. Step 5: Solve for x
    x = 63,632,329.41/10,581.90
  6. Step 6: Final answer
    x = 6,013.32

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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.