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Finding the Fourth Proportional to 7,371.98, 11,045.64 and 3,205.74

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Solution

The fourth proportional to 7,371.98, 11,045.64 and 3,205.74 is: 4,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,371.98 : 11,045.64 = 3,205.74 : x
  2. Step 2: Convert to fraction form
    7,371.98/11,045.64 = 3,205.74/x
  3. Step 3: Cross multiply
    7,371.98x = 11,045.64 × 3,205.74
  4. Step 4: Simplify right side
    7,371.98x = 35,409,449.97
  5. Step 5: Solve for x
    x = 35,409,449.97/7,371.98
  6. Step 6: Final answer
    x = 4,803.25

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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.