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Finding the Fourth Proportional to 10,993.32, 16,492.62 and 3,202.20

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Solution

The fourth proportional to 10,993.32, 16,492.62 and 3,202.20 is: 4,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.32 : 16,492.62 = 3,202.20 : x
  2. Step 2: Convert to fraction form
    10,993.32/16,492.62 = 3,202.20/x
  3. Step 3: Cross multiply
    10,993.32x = 16,492.62 × 3,202.20
  4. Step 4: Simplify right side
    10,993.32x = 52,812,667.76
  5. Step 5: Solve for x
    x = 52,812,667.76/10,993.32
  6. Step 6: Final answer
    x = 4,804.07

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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.