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Finding the Fourth Proportional to 7,390.71, 10,198.80 and 4,033.50

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Solution

The fourth proportional to 7,390.71, 10,198.80 and 4,033.50 is: 5,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.71 : 10,198.80 = 4,033.50 : x
  2. Step 2: Convert to fraction form
    7,390.71/10,198.80 = 4,033.50/x
  3. Step 3: Cross multiply
    7,390.71x = 10,198.80 × 4,033.50
  4. Step 4: Simplify right side
    7,390.71x = 41,136,859.80
  5. Step 5: Solve for x
    x = 41,136,859.80/7,390.71
  6. Step 6: Final answer
    x = 5,566.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.