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Finding the Fourth Proportional to 11,752.43, 17,634.02 and 5,090.96

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Solution

The fourth proportional to 11,752.43, 17,634.02 and 5,090.96 is: 7,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.43 : 17,634.02 = 5,090.96 : x
  2. Step 2: Convert to fraction form
    11,752.43/17,634.02 = 5,090.96/x
  3. Step 3: Cross multiply
    11,752.43x = 17,634.02 × 5,090.96
  4. Step 4: Simplify right side
    11,752.43x = 89,774,090.46
  5. Step 5: Solve for x
    x = 89,774,090.46/11,752.43
  6. Step 6: Final answer
    x = 7,638.77

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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.