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Finding the Fourth Proportional to 10,690.20, 15,992.10 and 9,245.40

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Solution

The fourth proportional to 10,690.20, 15,992.10 and 9,245.40 is: 13,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.20 : 15,992.10 = 9,245.40 : x
  2. Step 2: Convert to fraction form
    10,690.20/15,992.10 = 9,245.40/x
  3. Step 3: Cross multiply
    10,690.20x = 15,992.10 × 9,245.40
  4. Step 4: Simplify right side
    10,690.20x = 147,853,361.34
  5. Step 5: Solve for x
    x = 147,853,361.34/10,690.20
  6. Step 6: Final answer
    x = 13,830.74

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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.