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Finding the Fourth Proportional to 11,460.33, 17,223.71 and 7,589.34

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Solution

The fourth proportional to 11,460.33, 17,223.71 and 7,589.34 is: 11,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.33 : 17,223.71 = 7,589.34 : x
  2. Step 2: Convert to fraction form
    11,460.33/17,223.71 = 7,589.34/x
  3. Step 3: Cross multiply
    11,460.33x = 17,223.71 × 7,589.34
  4. Step 4: Simplify right side
    11,460.33x = 130,716,553.30
  5. Step 5: Solve for x
    x = 130,716,553.30/11,460.33
  6. Step 6: Final answer
    x = 11,406.00

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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.