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Finding the Fourth Proportional to 7,063.86, 9,749.90 and 4,081.43

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Solution

The fourth proportional to 7,063.86, 9,749.90 and 4,081.43 is: 5,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.86 : 9,749.90 = 4,081.43 : x
  2. Step 2: Convert to fraction form
    7,063.86/9,749.90 = 4,081.43/x
  3. Step 3: Cross multiply
    7,063.86x = 9,749.90 × 4,081.43
  4. Step 4: Simplify right side
    7,063.86x = 39,793,465.20
  5. Step 5: Solve for x
    x = 39,793,465.20/7,063.86
  6. Step 6: Final answer
    x = 5,633.39

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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.