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Finding the Fourth Proportional to 11,750.13, 17,625.19 and 3,542.13

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Solution

The fourth proportional to 11,750.13, 17,625.19 and 3,542.13 is: 5,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.13 : 17,625.19 = 3,542.13 : x
  2. Step 2: Convert to fraction form
    11,750.13/17,625.19 = 3,542.13/x
  3. Step 3: Cross multiply
    11,750.13x = 17,625.19 × 3,542.13
  4. Step 4: Simplify right side
    11,750.13x = 62,430,617.27
  5. Step 5: Solve for x
    x = 62,430,617.27/11,750.13
  6. Step 6: Final answer
    x = 5,313.19

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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.