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Finding the Fourth Proportional to 8,099, 12,121.07 and 4,980.98

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Solution

The fourth proportional to 8,099, 12,121.07 and 4,980.98 is: 7,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099 : 12,121.07 = 4,980.98 : x
  2. Step 2: Convert to fraction form
    8,099/12,121.07 = 4,980.98/x
  3. Step 3: Cross multiply
    8,099x = 12,121.07 × 4,980.98
  4. Step 4: Simplify right side
    8,099x = 60,374,825.10
  5. Step 5: Solve for x
    x = 60,374,825.10/8,099
  6. Step 6: Final answer
    x = 7,454.60

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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.