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Finding the Fourth Proportional to 7,144.50, 10,720.86 and 2,984.64

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Solution

The fourth proportional to 7,144.50, 10,720.86 and 2,984.64 is: 4,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.50 : 10,720.86 = 2,984.64 : x
  2. Step 2: Convert to fraction form
    7,144.50/10,720.86 = 2,984.64/x
  3. Step 3: Cross multiply
    7,144.50x = 10,720.86 × 2,984.64
  4. Step 4: Simplify right side
    7,144.50x = 31,997,907.59
  5. Step 5: Solve for x
    x = 31,997,907.59/7,144.50
  6. Step 6: Final answer
    x = 4,478.68

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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.