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Finding the Fourth Proportional to 8,178.63, 12,269.93 and 2,632.50

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Solution

The fourth proportional to 8,178.63, 12,269.93 and 2,632.50 is: 3,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.63 : 12,269.93 = 2,632.50 : x
  2. Step 2: Convert to fraction form
    8,178.63/12,269.93 = 2,632.50/x
  3. Step 3: Cross multiply
    8,178.63x = 12,269.93 × 2,632.50
  4. Step 4: Simplify right side
    8,178.63x = 32,300,590.73
  5. Step 5: Solve for x
    x = 32,300,590.73/8,178.63
  6. Step 6: Final answer
    x = 3,949.39

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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.