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Finding the Fourth Proportional to 7,111.88, 10,662.80 and 2,429.64

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Solution

The fourth proportional to 7,111.88, 10,662.80 and 2,429.64 is: 3,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.88 : 10,662.80 = 2,429.64 : x
  2. Step 2: Convert to fraction form
    7,111.88/10,662.80 = 2,429.64/x
  3. Step 3: Cross multiply
    7,111.88x = 10,662.80 × 2,429.64
  4. Step 4: Simplify right side
    7,111.88x = 25,906,765.39
  5. Step 5: Solve for x
    x = 25,906,765.39/7,111.88
  6. Step 6: Final answer
    x = 3,642.75

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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.