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Finding the Fourth Proportional to 8,632.34, 12,954.28 and 4,739.48

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Solution

The fourth proportional to 8,632.34, 12,954.28 and 4,739.48 is: 7,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.34 : 12,954.28 = 4,739.48 : x
  2. Step 2: Convert to fraction form
    8,632.34/12,954.28 = 4,739.48/x
  3. Step 3: Cross multiply
    8,632.34x = 12,954.28 × 4,739.48
  4. Step 4: Simplify right side
    8,632.34x = 61,396,550.97
  5. Step 5: Solve for x
    x = 61,396,550.97/8,632.34
  6. Step 6: Final answer
    x = 7,112.39

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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.