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Finding the Fourth Proportional to 7,770.85, 10,723.77 and 4,234.06

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Solution

The fourth proportional to 7,770.85, 10,723.77 and 4,234.06 is: 5,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.85 : 10,723.77 = 4,234.06 : x
  2. Step 2: Convert to fraction form
    7,770.85/10,723.77 = 4,234.06/x
  3. Step 3: Cross multiply
    7,770.85x = 10,723.77 × 4,234.06
  4. Step 4: Simplify right side
    7,770.85x = 45,405,085.61
  5. Step 5: Solve for x
    x = 45,405,085.61/7,770.85
  6. Step 6: Final answer
    x = 5,843.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.