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Finding the Fourth Proportional to 7,489.36, 10,338.94 and 5,806.89

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Solution

The fourth proportional to 7,489.36, 10,338.94 and 5,806.89 is: 8,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.36 : 10,338.94 = 5,806.89 : x
  2. Step 2: Convert to fraction form
    7,489.36/10,338.94 = 5,806.89/x
  3. Step 3: Cross multiply
    7,489.36x = 10,338.94 × 5,806.89
  4. Step 4: Simplify right side
    7,489.36x = 60,037,094.56
  5. Step 5: Solve for x
    x = 60,037,094.56/7,489.36
  6. Step 6: Final answer
    x = 8,016.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.