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Finding the Fourth Proportional to 10,130.64, 13,974.96 and 8,244.33

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Solution

The fourth proportional to 10,130.64, 13,974.96 and 8,244.33 is: 11,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.64 : 13,974.96 = 8,244.33 : x
  2. Step 2: Convert to fraction form
    10,130.64/13,974.96 = 8,244.33/x
  3. Step 3: Cross multiply
    10,130.64x = 13,974.96 × 8,244.33
  4. Step 4: Simplify right side
    10,130.64x = 115,214,181.98
  5. Step 5: Solve for x
    x = 115,214,181.98/10,130.64
  6. Step 6: Final answer
    x = 11,372.84

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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.