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Finding the Fourth Proportional to 8,356.72, 12,515.76 and 4,183.84

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Solution

The fourth proportional to 8,356.72, 12,515.76 and 4,183.84 is: 6,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.72 : 12,515.76 = 4,183.84 : x
  2. Step 2: Convert to fraction form
    8,356.72/12,515.76 = 4,183.84/x
  3. Step 3: Cross multiply
    8,356.72x = 12,515.76 × 4,183.84
  4. Step 4: Simplify right side
    8,356.72x = 52,363,937.32
  5. Step 5: Solve for x
    x = 52,363,937.32/8,356.72
  6. Step 6: Final answer
    x = 6,266.09

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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.