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Finding the Fourth Proportional to 10,375.92, 15,563.87 and 3,802.62

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Solution

The fourth proportional to 10,375.92, 15,563.87 and 3,802.62 is: 5,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.92 : 15,563.87 = 3,802.62 : x
  2. Step 2: Convert to fraction form
    10,375.92/15,563.87 = 3,802.62/x
  3. Step 3: Cross multiply
    10,375.92x = 15,563.87 × 3,802.62
  4. Step 4: Simplify right side
    10,375.92x = 59,183,483.34
  5. Step 5: Solve for x
    x = 59,183,483.34/10,375.92
  6. Step 6: Final answer
    x = 5,703.93

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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.