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Finding the Fourth Proportional to 8,208.12, 12,311.02 and 4,686.70

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Solution

The fourth proportional to 8,208.12, 12,311.02 and 4,686.70 is: 7,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.12 : 12,311.02 = 4,686.70 : x
  2. Step 2: Convert to fraction form
    8,208.12/12,311.02 = 4,686.70/x
  3. Step 3: Cross multiply
    8,208.12x = 12,311.02 × 4,686.70
  4. Step 4: Simplify right side
    8,208.12x = 57,698,057.43
  5. Step 5: Solve for x
    x = 57,698,057.43/8,208.12
  6. Step 6: Final answer
    x = 7,029.39

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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.