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Finding the Fourth Proportional to 7,338.30, 11,012.25 and 3,643.70

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Solution

The fourth proportional to 7,338.30, 11,012.25 and 3,643.70 is: 5,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.30 : 11,012.25 = 3,643.70 : x
  2. Step 2: Convert to fraction form
    7,338.30/11,012.25 = 3,643.70/x
  3. Step 3: Cross multiply
    7,338.30x = 11,012.25 × 3,643.70
  4. Step 4: Simplify right side
    7,338.30x = 40,125,280.26
  5. Step 5: Solve for x
    x = 40,125,280.26/7,338.30
  6. Step 6: Final answer
    x = 5,467.93

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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.