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Finding the Fourth Proportional to 10,305.65, 15,449.31 and 3,730.38

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Solution

The fourth proportional to 10,305.65, 15,449.31 and 3,730.38 is: 5,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.65 : 15,449.31 = 3,730.38 : x
  2. Step 2: Convert to fraction form
    10,305.65/15,449.31 = 3,730.38/x
  3. Step 3: Cross multiply
    10,305.65x = 15,449.31 × 3,730.38
  4. Step 4: Simplify right side
    10,305.65x = 57,631,797.04
  5. Step 5: Solve for x
    x = 57,631,797.04/10,305.65
  6. Step 6: Final answer
    x = 5,592.25

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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.