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Finding the Fourth Proportional to 8,468.34, 12,706.56 and 3,273

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Solution

The fourth proportional to 8,468.34, 12,706.56 and 3,273 is: 4,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.34 : 12,706.56 = 3,273 : x
  2. Step 2: Convert to fraction form
    8,468.34/12,706.56 = 3,273/x
  3. Step 3: Cross multiply
    8,468.34x = 12,706.56 × 3,273
  4. Step 4: Simplify right side
    8,468.34x = 41,588,570.88
  5. Step 5: Solve for x
    x = 41,588,570.88/8,468.34
  6. Step 6: Final answer
    x = 4,911.07

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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.