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Finding the Fourth Proportional to 10,416.42, 14,375.29 and 5,941.03

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Solution

The fourth proportional to 10,416.42, 14,375.29 and 5,941.03 is: 8,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.42 : 14,375.29 = 5,941.03 : x
  2. Step 2: Convert to fraction form
    10,416.42/14,375.29 = 5,941.03/x
  3. Step 3: Cross multiply
    10,416.42x = 14,375.29 × 5,941.03
  4. Step 4: Simplify right side
    10,416.42x = 85,404,029.15
  5. Step 5: Solve for x
    x = 85,404,029.15/10,416.42
  6. Step 6: Final answer
    x = 8,198.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.