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Finding the Fourth Proportional to 10,199.10, 15,303.08 and 5,522.43

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Solution

The fourth proportional to 10,199.10, 15,303.08 and 5,522.43 is: 8,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.10 : 15,303.08 = 5,522.43 : x
  2. Step 2: Convert to fraction form
    10,199.10/15,303.08 = 5,522.43/x
  3. Step 3: Cross multiply
    10,199.10x = 15,303.08 × 5,522.43
  4. Step 4: Simplify right side
    10,199.10x = 84,510,188.08
  5. Step 5: Solve for x
    x = 84,510,188.08/10,199.10
  6. Step 6: Final answer
    x = 8,286.04

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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.