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Finding the Fourth Proportional to 7,771.08, 11,649.18 and 2,574.12

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Solution

The fourth proportional to 7,771.08, 11,649.18 and 2,574.12 is: 3,858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.08 : 11,649.18 = 2,574.12 : x
  2. Step 2: Convert to fraction form
    7,771.08/11,649.18 = 2,574.12/x
  3. Step 3: Cross multiply
    7,771.08x = 11,649.18 × 2,574.12
  4. Step 4: Simplify right side
    7,771.08x = 29,986,387.22
  5. Step 5: Solve for x
    x = 29,986,387.22/7,771.08
  6. Step 6: Final answer
    x = 3,858.72

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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.