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Finding the Fourth Proportional to 8,209.56, 12,316.50 and 2,366.52

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Solution

The fourth proportional to 8,209.56, 12,316.50 and 2,366.52 is: 3,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.56 : 12,316.50 = 2,366.52 : x
  2. Step 2: Convert to fraction form
    8,209.56/12,316.50 = 2,366.52/x
  3. Step 3: Cross multiply
    8,209.56x = 12,316.50 × 2,366.52
  4. Step 4: Simplify right side
    8,209.56x = 29,147,243.58
  5. Step 5: Solve for x
    x = 29,147,243.58/8,209.56
  6. Step 6: Final answer
    x = 3,550.40

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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.