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Finding the Fourth Proportional to 8,152.85, 12,229.46 and 4,617.59

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Solution

The fourth proportional to 8,152.85, 12,229.46 and 4,617.59 is: 6,926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.85 : 12,229.46 = 4,617.59 : x
  2. Step 2: Convert to fraction form
    8,152.85/12,229.46 = 4,617.59/x
  3. Step 3: Cross multiply
    8,152.85x = 12,229.46 × 4,617.59
  4. Step 4: Simplify right side
    8,152.85x = 56,470,639.69
  5. Step 5: Solve for x
    x = 56,470,639.69/8,152.85
  6. Step 6: Final answer
    x = 6,926.49

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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.