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Finding the Fourth Proportional to 8,368.56, 12,554.19 and 2,822.49

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Solution

The fourth proportional to 8,368.56, 12,554.19 and 2,822.49 is: 4,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368.56 : 12,554.19 = 2,822.49 : x
  2. Step 2: Convert to fraction form
    8,368.56/12,554.19 = 2,822.49/x
  3. Step 3: Cross multiply
    8,368.56x = 12,554.19 × 2,822.49
  4. Step 4: Simplify right side
    8,368.56x = 35,434,075.73
  5. Step 5: Solve for x
    x = 35,434,075.73/8,368.56
  6. Step 6: Final answer
    x = 4,234.19

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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.