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Finding the Fourth Proportional to 6,730.56, 10,096.34 and 1,800.08

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Solution

The fourth proportional to 6,730.56, 10,096.34 and 1,800.08 is: 2,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.56 : 10,096.34 = 1,800.08 : x
  2. Step 2: Convert to fraction form
    6,730.56/10,096.34 = 1,800.08/x
  3. Step 3: Cross multiply
    6,730.56x = 10,096.34 × 1,800.08
  4. Step 4: Simplify right side
    6,730.56x = 18,174,219.71
  5. Step 5: Solve for x
    x = 18,174,219.71/6,730.56
  6. Step 6: Final answer
    x = 2,700.25

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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.