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Finding the Fourth Proportional to 11,617.28, 17,416.13 and 5,038.52

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Solution

The fourth proportional to 11,617.28, 17,416.13 and 5,038.52 is: 7,553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.28 : 17,416.13 = 5,038.52 : x
  2. Step 2: Convert to fraction form
    11,617.28/17,416.13 = 5,038.52/x
  3. Step 3: Cross multiply
    11,617.28x = 17,416.13 × 5,038.52
  4. Step 4: Simplify right side
    11,617.28x = 87,751,444.84
  5. Step 5: Solve for x
    x = 87,751,444.84/11,617.28
  6. Step 6: Final answer
    x = 7,553.53

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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.