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Finding the Fourth Proportional to 8,156.39, 11,255.73 and 4,430.39

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Solution

The fourth proportional to 8,156.39, 11,255.73 and 4,430.39 is: 6,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.39 : 11,255.73 = 4,430.39 : x
  2. Step 2: Convert to fraction form
    8,156.39/11,255.73 = 4,430.39/x
  3. Step 3: Cross multiply
    8,156.39x = 11,255.73 × 4,430.39
  4. Step 4: Simplify right side
    8,156.39x = 49,867,217.36
  5. Step 5: Solve for x
    x = 49,867,217.36/8,156.39
  6. Step 6: Final answer
    x = 6,113.89

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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.