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Finding the Fourth Proportional to 8,558.56, 12,850.75 and 6,982.10

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Solution

The fourth proportional to 8,558.56, 12,850.75 and 6,982.10 is: 10,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,558.56 : 12,850.75 = 6,982.10 : x
  2. Step 2: Convert to fraction form
    8,558.56/12,850.75 = 6,982.10/x
  3. Step 3: Cross multiply
    8,558.56x = 12,850.75 × 6,982.10
  4. Step 4: Simplify right side
    8,558.56x = 89,725,214.24
  5. Step 5: Solve for x
    x = 89,725,214.24/8,558.56
  6. Step 6: Final answer
    x = 10,483.68

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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.