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Finding the Fourth Proportional to 8,271.98, 12,409.18 and 2,725.91

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Solution

The fourth proportional to 8,271.98, 12,409.18 and 2,725.91 is: 4,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.98 : 12,409.18 = 2,725.91 : x
  2. Step 2: Convert to fraction form
    8,271.98/12,409.18 = 2,725.91/x
  3. Step 3: Cross multiply
    8,271.98x = 12,409.18 × 2,725.91
  4. Step 4: Simplify right side
    8,271.98x = 33,826,307.85
  5. Step 5: Solve for x
    x = 33,826,307.85/8,271.98
  6. Step 6: Final answer
    x = 4,089.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.