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Finding the Fourth Proportional to 8,133.12, 12,199.76 and 2,289.60

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Solution

The fourth proportional to 8,133.12, 12,199.76 and 2,289.60 is: 3,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.12 : 12,199.76 = 2,289.60 : x
  2. Step 2: Convert to fraction form
    8,133.12/12,199.76 = 2,289.60/x
  3. Step 3: Cross multiply
    8,133.12x = 12,199.76 × 2,289.60
  4. Step 4: Simplify right side
    8,133.12x = 27,932,570.50
  5. Step 5: Solve for x
    x = 27,932,570.50/8,133.12
  6. Step 6: Final answer
    x = 3,434.42

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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.