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Finding the Fourth Proportional to 7,757.85, 11,636.59 and 2,492.87

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Solution

The fourth proportional to 7,757.85, 11,636.59 and 2,492.87 is: 3,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.85 : 11,636.59 = 2,492.87 : x
  2. Step 2: Convert to fraction form
    7,757.85/11,636.59 = 2,492.87/x
  3. Step 3: Cross multiply
    7,757.85x = 11,636.59 × 2,492.87
  4. Step 4: Simplify right side
    7,757.85x = 29,008,506.11
  5. Step 5: Solve for x
    x = 29,008,506.11/7,757.85
  6. Step 6: Final answer
    x = 3,739.25

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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.