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Finding the Fourth Proportional to 8,019.56, 11,065.09 and 4,660.46

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Solution

The fourth proportional to 8,019.56, 11,065.09 and 4,660.46 is: 6,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.56 : 11,065.09 = 4,660.46 : x
  2. Step 2: Convert to fraction form
    8,019.56/11,065.09 = 4,660.46/x
  3. Step 3: Cross multiply
    8,019.56x = 11,065.09 × 4,660.46
  4. Step 4: Simplify right side
    8,019.56x = 51,568,443.38
  5. Step 5: Solve for x
    x = 51,568,443.38/8,019.56
  6. Step 6: Final answer
    x = 6,430.34

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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.