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Finding the Fourth Proportional to 6,730.05, 10,096.69 and 2,113.05

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Solution

The fourth proportional to 6,730.05, 10,096.69 and 2,113.05 is: 3,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.05 : 10,096.69 = 2,113.05 : x
  2. Step 2: Convert to fraction form
    6,730.05/10,096.69 = 2,113.05/x
  3. Step 3: Cross multiply
    6,730.05x = 10,096.69 × 2,113.05
  4. Step 4: Simplify right side
    6,730.05x = 21,334,810.80
  5. Step 5: Solve for x
    x = 21,334,810.80/6,730.05
  6. Step 6: Final answer
    x = 3,170.08

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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.