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Finding the Fourth Proportional to 8,046.75, 12,070.53 and 2,853.03

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Solution

The fourth proportional to 8,046.75, 12,070.53 and 2,853.03 is: 4,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.75 : 12,070.53 = 2,853.03 : x
  2. Step 2: Convert to fraction form
    8,046.75/12,070.53 = 2,853.03/x
  3. Step 3: Cross multiply
    8,046.75x = 12,070.53 × 2,853.03
  4. Step 4: Simplify right side
    8,046.75x = 34,437,584.21
  5. Step 5: Solve for x
    x = 34,437,584.21/8,046.75
  6. Step 6: Final answer
    x = 4,279.69

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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.