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Finding the Fourth Proportional to 8,583.72, 11,846 and 5,226

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Solution

The fourth proportional to 8,583.72, 11,846 and 5,226 is: 7,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.72 : 11,846 = 5,226 : x
  2. Step 2: Convert to fraction form
    8,583.72/11,846 = 5,226/x
  3. Step 3: Cross multiply
    8,583.72x = 11,846 × 5,226
  4. Step 4: Simplify right side
    8,583.72x = 61,907,196
  5. Step 5: Solve for x
    x = 61,907,196/8,583.72
  6. Step 6: Final answer
    x = 7,212.16

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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.