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Finding the Fourth Proportional to 8,184.61, 12,276.93 and 2,638.36

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Solution

The fourth proportional to 8,184.61, 12,276.93 and 2,638.36 is: 3,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.61 : 12,276.93 = 2,638.36 : x
  2. Step 2: Convert to fraction form
    8,184.61/12,276.93 = 2,638.36/x
  3. Step 3: Cross multiply
    8,184.61x = 12,276.93 × 2,638.36
  4. Step 4: Simplify right side
    8,184.61x = 32,390,899.65
  5. Step 5: Solve for x
    x = 32,390,899.65/8,184.61
  6. Step 6: Final answer
    x = 3,957.54

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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.