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Finding the Fourth Proportional to 8,152.76, 12,223.74 and 2,958.68

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Solution

The fourth proportional to 8,152.76, 12,223.74 and 2,958.68 is: 4,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.76 : 12,223.74 = 2,958.68 : x
  2. Step 2: Convert to fraction form
    8,152.76/12,223.74 = 2,958.68/x
  3. Step 3: Cross multiply
    8,152.76x = 12,223.74 × 2,958.68
  4. Step 4: Simplify right side
    8,152.76x = 36,166,135.06
  5. Step 5: Solve for x
    x = 36,166,135.06/8,152.76
  6. Step 6: Final answer
    x = 4,436.06

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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.