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Finding the Fourth Proportional to 8,324.45, 12,485.65 and 3,643.57

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Solution

The fourth proportional to 8,324.45, 12,485.65 and 3,643.57 is: 5,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.45 : 12,485.65 = 3,643.57 : x
  2. Step 2: Convert to fraction form
    8,324.45/12,485.65 = 3,643.57/x
  3. Step 3: Cross multiply
    8,324.45x = 12,485.65 × 3,643.57
  4. Step 4: Simplify right side
    8,324.45x = 45,492,339.77
  5. Step 5: Solve for x
    x = 45,492,339.77/8,324.45
  6. Step 6: Final answer
    x = 5,464.91

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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.