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Finding the Fourth Proportional to 8,772.63, 13,159.14 and 3,578.50

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Solution

The fourth proportional to 8,772.63, 13,159.14 and 3,578.50 is: 5,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772.63 : 13,159.14 = 3,578.50 : x
  2. Step 2: Convert to fraction form
    8,772.63/13,159.14 = 3,578.50/x
  3. Step 3: Cross multiply
    8,772.63x = 13,159.14 × 3,578.50
  4. Step 4: Simplify right side
    8,772.63x = 47,089,982.49
  5. Step 5: Solve for x
    x = 47,089,982.49/8,772.63
  6. Step 6: Final answer
    x = 5,367.83

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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.