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Finding the Fourth Proportional to 8,324.53, 12,477.60 and 3,392.98

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Solution

The fourth proportional to 8,324.53, 12,477.60 and 3,392.98 is: 5,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.53 : 12,477.60 = 3,392.98 : x
  2. Step 2: Convert to fraction form
    8,324.53/12,477.60 = 3,392.98/x
  3. Step 3: Cross multiply
    8,324.53x = 12,477.60 × 3,392.98
  4. Step 4: Simplify right side
    8,324.53x = 42,336,216.05
  5. Step 5: Solve for x
    x = 42,336,216.05/8,324.53
  6. Step 6: Final answer
    x = 5,085.72

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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.