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Finding the Fourth Proportional to 8,152.64, 12,230.82 and 2,958.51

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Solution

The fourth proportional to 8,152.64, 12,230.82 and 2,958.51 is: 4,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.64 : 12,230.82 = 2,958.51 : x
  2. Step 2: Convert to fraction form
    8,152.64/12,230.82 = 2,958.51/x
  3. Step 3: Cross multiply
    8,152.64x = 12,230.82 × 2,958.51
  4. Step 4: Simplify right side
    8,152.64x = 36,185,003.28
  5. Step 5: Solve for x
    x = 36,185,003.28/8,152.64
  6. Step 6: Final answer
    x = 4,438.44

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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.