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Finding the Fourth Proportional to 8,257, 12,386.62 and 2,412.84

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Solution

The fourth proportional to 8,257, 12,386.62 and 2,412.84 is: 3,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257 : 12,386.62 = 2,412.84 : x
  2. Step 2: Convert to fraction form
    8,257/12,386.62 = 2,412.84/x
  3. Step 3: Cross multiply
    8,257x = 12,386.62 × 2,412.84
  4. Step 4: Simplify right side
    8,257x = 29,886,932.20
  5. Step 5: Solve for x
    x = 29,886,932.20/8,257
  6. Step 6: Final answer
    x = 3,619.59

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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.