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Finding the Fourth Proportional to 10,401.60, 15,593.04 and 3,823.32

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Solution

The fourth proportional to 10,401.60, 15,593.04 and 3,823.32 is: 5,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.60 : 15,593.04 = 3,823.32 : x
  2. Step 2: Convert to fraction form
    10,401.60/15,593.04 = 3,823.32/x
  3. Step 3: Cross multiply
    10,401.60x = 15,593.04 × 3,823.32
  4. Step 4: Simplify right side
    10,401.60x = 59,617,181.69
  5. Step 5: Solve for x
    x = 59,617,181.69/10,401.60
  6. Step 6: Final answer
    x = 5,731.54

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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.