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Finding the Fourth Proportional to 6,889.68, 10,338.66 and 2,507.04

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Solution

The fourth proportional to 6,889.68, 10,338.66 and 2,507.04 is: 3,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.68 : 10,338.66 = 2,507.04 : x
  2. Step 2: Convert to fraction form
    6,889.68/10,338.66 = 2,507.04/x
  3. Step 3: Cross multiply
    6,889.68x = 10,338.66 × 2,507.04
  4. Step 4: Simplify right side
    6,889.68x = 25,919,434.17
  5. Step 5: Solve for x
    x = 25,919,434.17/6,889.68
  6. Step 6: Final answer
    x = 3,762.07

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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.