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Finding the Fourth Proportional to 11,617.25, 17,416.08 and 5,038.48

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Solution

The fourth proportional to 11,617.25, 17,416.08 and 5,038.48 is: 7,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.25 : 17,416.08 = 5,038.48 : x
  2. Step 2: Convert to fraction form
    11,617.25/17,416.08 = 5,038.48/x
  3. Step 3: Cross multiply
    11,617.25x = 17,416.08 × 5,038.48
  4. Step 4: Simplify right side
    11,617.25x = 87,750,553.87
  5. Step 5: Solve for x
    x = 87,750,553.87/11,617.25
  6. Step 6: Final answer
    x = 7,553.47

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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.