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Finding the Fourth Proportional to 8,032.65, 12,050.78 and 3,101.85

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Solution

The fourth proportional to 8,032.65, 12,050.78 and 3,101.85 is: 4,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.65 : 12,050.78 = 3,101.85 : x
  2. Step 2: Convert to fraction form
    8,032.65/12,050.78 = 3,101.85/x
  3. Step 3: Cross multiply
    8,032.65x = 12,050.78 × 3,101.85
  4. Step 4: Simplify right side
    8,032.65x = 37,379,696.43
  5. Step 5: Solve for x
    x = 37,379,696.43/8,032.65
  6. Step 6: Final answer
    x = 4,653.47

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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.