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Finding the Fourth Proportional to 10,584.12, 15,864.84 and 5,034

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Solution

The fourth proportional to 10,584.12, 15,864.84 and 5,034 is: 7,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.12 : 15,864.84 = 5,034 : x
  2. Step 2: Convert to fraction form
    10,584.12/15,864.84 = 5,034/x
  3. Step 3: Cross multiply
    10,584.12x = 15,864.84 × 5,034
  4. Step 4: Simplify right side
    10,584.12x = 79,863,604.56
  5. Step 5: Solve for x
    x = 79,863,604.56/10,584.12
  6. Step 6: Final answer
    x = 7,545.61

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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.