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Finding the Fourth Proportional to 8,449.58, 12,674.38 and 4,578.60

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Solution

The fourth proportional to 8,449.58, 12,674.38 and 4,578.60 is: 6,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.58 : 12,674.38 = 4,578.60 : x
  2. Step 2: Convert to fraction form
    8,449.58/12,674.38 = 4,578.60/x
  3. Step 3: Cross multiply
    8,449.58x = 12,674.38 × 4,578.60
  4. Step 4: Simplify right side
    8,449.58x = 58,030,916.27
  5. Step 5: Solve for x
    x = 58,030,916.27/8,449.58
  6. Step 6: Final answer
    x = 6,867.91

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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.