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Finding the Fourth Proportional to 8,289.03, 12,433.14 and 3,094.50

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Solution

The fourth proportional to 8,289.03, 12,433.14 and 3,094.50 is: 4,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.03 : 12,433.14 = 3,094.50 : x
  2. Step 2: Convert to fraction form
    8,289.03/12,433.14 = 3,094.50/x
  3. Step 3: Cross multiply
    8,289.03x = 12,433.14 × 3,094.50
  4. Step 4: Simplify right side
    8,289.03x = 38,474,351.73
  5. Step 5: Solve for x
    x = 38,474,351.73/8,289.03
  6. Step 6: Final answer
    x = 4,641.60

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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.