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Finding the Fourth Proportional to 11,447.75, 17,169.60 and 5,206.30

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Solution

The fourth proportional to 11,447.75, 17,169.60 and 5,206.30 is: 7,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.75 : 17,169.60 = 5,206.30 : x
  2. Step 2: Convert to fraction form
    11,447.75/17,169.60 = 5,206.30/x
  3. Step 3: Cross multiply
    11,447.75x = 17,169.60 × 5,206.30
  4. Step 4: Simplify right side
    11,447.75x = 89,390,088.48
  5. Step 5: Solve for x
    x = 89,390,088.48/11,447.75
  6. Step 6: Final answer
    x = 7,808.53

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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.