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Finding the Fourth Proportional to 8,033.58, 12,025.80 and 6,458.94

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Solution

The fourth proportional to 8,033.58, 12,025.80 and 6,458.94 is: 9,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.58 : 12,025.80 = 6,458.94 : x
  2. Step 2: Convert to fraction form
    8,033.58/12,025.80 = 6,458.94/x
  3. Step 3: Cross multiply
    8,033.58x = 12,025.80 × 6,458.94
  4. Step 4: Simplify right side
    8,033.58x = 77,673,920.65
  5. Step 5: Solve for x
    x = 77,673,920.65/8,033.58
  6. Step 6: Final answer
    x = 9,668.66

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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.