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Finding the Fourth Proportional to 8,564.85, 12,848.61 and 3,634.50

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Solution

The fourth proportional to 8,564.85, 12,848.61 and 3,634.50 is: 5,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.85 : 12,848.61 = 3,634.50 : x
  2. Step 2: Convert to fraction form
    8,564.85/12,848.61 = 3,634.50/x
  3. Step 3: Cross multiply
    8,564.85x = 12,848.61 × 3,634.50
  4. Step 4: Simplify right side
    8,564.85x = 46,698,273.05
  5. Step 5: Solve for x
    x = 46,698,273.05/8,564.85
  6. Step 6: Final answer
    x = 5,452.32

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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.