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Finding the Fourth Proportional to 7,984.57, 11,014.99 and 5,151.21

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Solution

The fourth proportional to 7,984.57, 11,014.99 and 5,151.21 is: 7,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.57 : 11,014.99 = 5,151.21 : x
  2. Step 2: Convert to fraction form
    7,984.57/11,014.99 = 5,151.21/x
  3. Step 3: Cross multiply
    7,984.57x = 11,014.99 × 5,151.21
  4. Step 4: Simplify right side
    7,984.57x = 56,740,500.88
  5. Step 5: Solve for x
    x = 56,740,500.88/7,984.57
  6. Step 6: Final answer
    x = 7,106.27

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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.