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Finding the Fourth Proportional to 8,104.50, 12,160.41 and 4,641.75

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Solution

The fourth proportional to 8,104.50, 12,160.41 and 4,641.75 is: 6,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.50 : 12,160.41 = 4,641.75 : x
  2. Step 2: Convert to fraction form
    8,104.50/12,160.41 = 4,641.75/x
  3. Step 3: Cross multiply
    8,104.50x = 12,160.41 × 4,641.75
  4. Step 4: Simplify right side
    8,104.50x = 56,445,583.12
  5. Step 5: Solve for x
    x = 56,445,583.12/8,104.50
  6. Step 6: Final answer
    x = 6,964.72

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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.