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Finding the Fourth Proportional to 8,154.06, 12,211.65 and 4,450.74

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Solution

The fourth proportional to 8,154.06, 12,211.65 and 4,450.74 is: 6,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.06 : 12,211.65 = 4,450.74 : x
  2. Step 2: Convert to fraction form
    8,154.06/12,211.65 = 4,450.74/x
  3. Step 3: Cross multiply
    8,154.06x = 12,211.65 × 4,450.74
  4. Step 4: Simplify right side
    8,154.06x = 54,350,879.12
  5. Step 5: Solve for x
    x = 54,350,879.12/8,154.06
  6. Step 6: Final answer
    x = 6,665.50

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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.