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Finding the Fourth Proportional to 8,216, 12,326.06 and 2,372.62

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Solution

The fourth proportional to 8,216, 12,326.06 and 2,372.62 is: 3,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 12,326.06 = 2,372.62 : x
  2. Step 2: Convert to fraction form
    8,216/12,326.06 = 2,372.62/x
  3. Step 3: Cross multiply
    8,216x = 12,326.06 × 2,372.62
  4. Step 4: Simplify right side
    8,216x = 29,245,056.48
  5. Step 5: Solve for x
    x = 29,245,056.48/8,216
  6. Step 6: Final answer
    x = 3,559.52

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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.