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Finding the Fourth Proportional to 7,655.19, 11,466 and 3,961.05

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Solution

The fourth proportional to 7,655.19, 11,466 and 3,961.05 is: 5,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.19 : 11,466 = 3,961.05 : x
  2. Step 2: Convert to fraction form
    7,655.19/11,466 = 3,961.05/x
  3. Step 3: Cross multiply
    7,655.19x = 11,466 × 3,961.05
  4. Step 4: Simplify right side
    7,655.19x = 45,417,399.30
  5. Step 5: Solve for x
    x = 45,417,399.30/7,655.19
  6. Step 6: Final answer
    x = 5,932.89

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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.