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Finding the Fourth Proportional to 7,099.98, 9,793.86 and 5,111.46

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Solution

The fourth proportional to 7,099.98, 9,793.86 and 5,111.46 is: 7,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.98 : 9,793.86 = 5,111.46 : x
  2. Step 2: Convert to fraction form
    7,099.98/9,793.86 = 5,111.46/x
  3. Step 3: Cross multiply
    7,099.98x = 9,793.86 × 5,111.46
  4. Step 4: Simplify right side
    7,099.98x = 50,060,923.64
  5. Step 5: Solve for x
    x = 50,060,923.64/7,099.98
  6. Step 6: Final answer
    x = 7,050.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.