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Finding the Fourth Proportional to 7,805.88, 11,705.76 and 3,420.27

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Solution

The fourth proportional to 7,805.88, 11,705.76 and 3,420.27 is: 5,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.88 : 11,705.76 = 3,420.27 : x
  2. Step 2: Convert to fraction form
    7,805.88/11,705.76 = 3,420.27/x
  3. Step 3: Cross multiply
    7,805.88x = 11,705.76 × 3,420.27
  4. Step 4: Simplify right side
    7,805.88x = 40,036,859.76
  5. Step 5: Solve for x
    x = 40,036,859.76/7,805.88
  6. Step 6: Final answer
    x = 5,129.06

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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.