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Finding the Fourth Proportional to 8,364.56, 12,547.26 and 2,819.57

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Solution

The fourth proportional to 8,364.56, 12,547.26 and 2,819.57 is: 4,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.56 : 12,547.26 = 2,819.57 : x
  2. Step 2: Convert to fraction form
    8,364.56/12,547.26 = 2,819.57/x
  3. Step 3: Cross multiply
    8,364.56x = 12,547.26 × 2,819.57
  4. Step 4: Simplify right side
    8,364.56x = 35,377,815.14
  5. Step 5: Solve for x
    x = 35,377,815.14/8,364.56
  6. Step 6: Final answer
    x = 4,229.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.