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Finding the Fourth Proportional to 7,014.96, 10,519.92 and 2,083.20

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Solution

The fourth proportional to 7,014.96, 10,519.92 and 2,083.20 is: 3,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.96 : 10,519.92 = 2,083.20 : x
  2. Step 2: Convert to fraction form
    7,014.96/10,519.92 = 2,083.20/x
  3. Step 3: Cross multiply
    7,014.96x = 10,519.92 × 2,083.20
  4. Step 4: Simplify right side
    7,014.96x = 21,915,097.34
  5. Step 5: Solve for x
    x = 21,915,097.34/7,014.96
  6. Step 6: Final answer
    x = 3,124.05

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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.