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Finding the Fourth Proportional to 7,837.35, 11,755.98 and 2,775.29

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Solution

The fourth proportional to 7,837.35, 11,755.98 and 2,775.29 is: 4,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.35 : 11,755.98 = 2,775.29 : x
  2. Step 2: Convert to fraction form
    7,837.35/11,755.98 = 2,775.29/x
  3. Step 3: Cross multiply
    7,837.35x = 11,755.98 × 2,775.29
  4. Step 4: Simplify right side
    7,837.35x = 32,626,228.63
  5. Step 5: Solve for x
    x = 32,626,228.63/7,837.35
  6. Step 6: Final answer
    x = 4,162.92

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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.