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Finding the Fourth Proportional to 8,558.20, 12,815.70 and 6,830.20

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Solution

The fourth proportional to 8,558.20, 12,815.70 and 6,830.20 is: 10,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,558.20 : 12,815.70 = 6,830.20 : x
  2. Step 2: Convert to fraction form
    8,558.20/12,815.70 = 6,830.20/x
  3. Step 3: Cross multiply
    8,558.20x = 12,815.70 × 6,830.20
  4. Step 4: Simplify right side
    8,558.20x = 87,533,794.14
  5. Step 5: Solve for x
    x = 87,533,794.14/8,558.20
  6. Step 6: Final answer
    x = 10,228.06

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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.