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Finding the Fourth Proportional to 7,099.67, 10,659.87 and 5,874.86

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Solution

The fourth proportional to 7,099.67, 10,659.87 and 5,874.86 is: 8,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.67 : 10,659.87 = 5,874.86 : x
  2. Step 2: Convert to fraction form
    7,099.67/10,659.87 = 5,874.86/x
  3. Step 3: Cross multiply
    7,099.67x = 10,659.87 × 5,874.86
  4. Step 4: Simplify right side
    7,099.67x = 62,625,270.52
  5. Step 5: Solve for x
    x = 62,625,270.52/7,099.67
  6. Step 6: Final answer
    x = 8,820.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.