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Finding the Fourth Proportional to 7,806.85, 10,757.51 and 5,563.96

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Solution

The fourth proportional to 7,806.85, 10,757.51 and 5,563.96 is: 7,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.85 : 10,757.51 = 5,563.96 : x
  2. Step 2: Convert to fraction form
    7,806.85/10,757.51 = 5,563.96/x
  3. Step 3: Cross multiply
    7,806.85x = 10,757.51 × 5,563.96
  4. Step 4: Simplify right side
    7,806.85x = 59,854,321.49
  5. Step 5: Solve for x
    x = 59,854,321.49/7,806.85
  6. Step 6: Final answer
    x = 7,666.90

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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.