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Finding the Fourth Proportional to 12,841.56, 19,263 and 3,608.28

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Solution

The fourth proportional to 12,841.56, 19,263 and 3,608.28 is: 5,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.56 : 19,263 = 3,608.28 : x
  2. Step 2: Convert to fraction form
    12,841.56/19,263 = 3,608.28/x
  3. Step 3: Cross multiply
    12,841.56x = 19,263 × 3,608.28
  4. Step 4: Simplify right side
    12,841.56x = 69,506,297.64
  5. Step 5: Solve for x
    x = 69,506,297.64/12,841.56
  6. Step 6: Final answer
    x = 5,412.61

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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.