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Finding the Fourth Proportional to 8,566.34, 12,850.32 and 3,371

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Solution

The fourth proportional to 8,566.34, 12,850.32 and 3,371 is: 5,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.34 : 12,850.32 = 3,371 : x
  2. Step 2: Convert to fraction form
    8,566.34/12,850.32 = 3,371/x
  3. Step 3: Cross multiply
    8,566.34x = 12,850.32 × 3,371
  4. Step 4: Simplify right side
    8,566.34x = 43,318,428.72
  5. Step 5: Solve for x
    x = 43,318,428.72/8,566.34
  6. Step 6: Final answer
    x = 5,056.82

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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.