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Finding the Fourth Proportional to 8,390.43, 12,584.84 and 2,547.09

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Solution

The fourth proportional to 8,390.43, 12,584.84 and 2,547.09 is: 3,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.43 : 12,584.84 = 2,547.09 : x
  2. Step 2: Convert to fraction form
    8,390.43/12,584.84 = 2,547.09/x
  3. Step 3: Cross multiply
    8,390.43x = 12,584.84 × 2,547.09
  4. Step 4: Simplify right side
    8,390.43x = 32,054,745.21
  5. Step 5: Solve for x
    x = 32,054,745.21/8,390.43
  6. Step 6: Final answer
    x = 3,820.39

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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.