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Finding the Fourth Proportional to 8,511.63, 12,768.06 and 2,271.60

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Solution

The fourth proportional to 8,511.63, 12,768.06 and 2,271.60 is: 3,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.63 : 12,768.06 = 2,271.60 : x
  2. Step 2: Convert to fraction form
    8,511.63/12,768.06 = 2,271.60/x
  3. Step 3: Cross multiply
    8,511.63x = 12,768.06 × 2,271.60
  4. Step 4: Simplify right side
    8,511.63x = 29,003,925.10
  5. Step 5: Solve for x
    x = 29,003,925.10/8,511.63
  6. Step 6: Final answer
    x = 3,407.56

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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.