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Finding the Fourth Proportional to 7,352.41, 11,029.84 and 3,407.62

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Solution

The fourth proportional to 7,352.41, 11,029.84 and 3,407.62 is: 5,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.41 : 11,029.84 = 3,407.62 : x
  2. Step 2: Convert to fraction form
    7,352.41/11,029.84 = 3,407.62/x
  3. Step 3: Cross multiply
    7,352.41x = 11,029.84 × 3,407.62
  4. Step 4: Simplify right side
    7,352.41x = 37,585,467.29
  5. Step 5: Solve for x
    x = 37,585,467.29/7,352.41
  6. Step 6: Final answer
    x = 5,111.99

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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.