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Finding the Fourth Proportional to 10,436.44, 15,654.84 and 4,197.12

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Solution

The fourth proportional to 10,436.44, 15,654.84 and 4,197.12 is: 6,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.44 : 15,654.84 = 4,197.12 : x
  2. Step 2: Convert to fraction form
    10,436.44/15,654.84 = 4,197.12/x
  3. Step 3: Cross multiply
    10,436.44x = 15,654.84 × 4,197.12
  4. Step 4: Simplify right side
    10,436.44x = 65,705,242.06
  5. Step 5: Solve for x
    x = 65,705,242.06/10,436.44
  6. Step 6: Final answer
    x = 6,295.75

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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.