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Finding the Fourth Proportional to 10,302.92, 15,449.34 and 3,728.12

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Solution

The fourth proportional to 10,302.92, 15,449.34 and 3,728.12 is: 5,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.92 : 15,449.34 = 3,728.12 : x
  2. Step 2: Convert to fraction form
    10,302.92/15,449.34 = 3,728.12/x
  3. Step 3: Cross multiply
    10,302.92x = 15,449.34 × 3,728.12
  4. Step 4: Simplify right side
    10,302.92x = 57,596,993.44
  5. Step 5: Solve for x
    x = 57,596,993.44/10,302.92
  6. Step 6: Final answer
    x = 5,590.36

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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.