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Finding the Fourth Proportional to 11,617.35, 17,416.22 and 5,038.58

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Solution

The fourth proportional to 11,617.35, 17,416.22 and 5,038.58 is: 7,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.35 : 17,416.22 = 5,038.58 : x
  2. Step 2: Convert to fraction form
    11,617.35/17,416.22 = 5,038.58/x
  3. Step 3: Cross multiply
    11,617.35x = 17,416.22 × 5,038.58
  4. Step 4: Simplify right side
    11,617.35x = 87,752,986.82
  5. Step 5: Solve for x
    x = 87,752,986.82/11,617.35
  6. Step 6: Final answer
    x = 7,553.62

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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.