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Finding the Fourth Proportional to 7,319.88, 10,982.70 and 3,213

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Solution

The fourth proportional to 7,319.88, 10,982.70 and 3,213 is: 4,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.88 : 10,982.70 = 3,213 : x
  2. Step 2: Convert to fraction form
    7,319.88/10,982.70 = 3,213/x
  3. Step 3: Cross multiply
    7,319.88x = 10,982.70 × 3,213
  4. Step 4: Simplify right side
    7,319.88x = 35,287,415.10
  5. Step 5: Solve for x
    x = 35,287,415.10/7,319.88
  6. Step 6: Final answer
    x = 4,820.76

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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.