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Finding the Fourth Proportional to 11,452, 17,180.16 and 5,296

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Solution

The fourth proportional to 11,452, 17,180.16 and 5,296 is: 7,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452 : 17,180.16 = 5,296 : x
  2. Step 2: Convert to fraction form
    11,452/17,180.16 = 5,296/x
  3. Step 3: Cross multiply
    11,452x = 17,180.16 × 5,296
  4. Step 4: Simplify right side
    11,452x = 90,986,127.36
  5. Step 5: Solve for x
    x = 90,986,127.36/11,452
  6. Step 6: Final answer
    x = 7,945.00

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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.