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Finding the Fourth Proportional to 7,805.06, 11,702.10 and 2,874.06

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Solution

The fourth proportional to 7,805.06, 11,702.10 and 2,874.06 is: 4,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.06 : 11,702.10 = 2,874.06 : x
  2. Step 2: Convert to fraction form
    7,805.06/11,702.10 = 2,874.06/x
  3. Step 3: Cross multiply
    7,805.06x = 11,702.10 × 2,874.06
  4. Step 4: Simplify right side
    7,805.06x = 33,632,537.53
  5. Step 5: Solve for x
    x = 33,632,537.53/7,805.06
  6. Step 6: Final answer
    x = 4,309.07

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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.