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Finding the Fourth Proportional to 11,696.59, 17,549.75 and 6,148.60

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Solution

The fourth proportional to 11,696.59, 17,549.75 and 6,148.60 is: 9,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.59 : 17,549.75 = 6,148.60 : x
  2. Step 2: Convert to fraction form
    11,696.59/17,549.75 = 6,148.60/x
  3. Step 3: Cross multiply
    11,696.59x = 17,549.75 × 6,148.60
  4. Step 4: Simplify right side
    11,696.59x = 107,906,392.85
  5. Step 5: Solve for x
    x = 107,906,392.85/11,696.59
  6. Step 6: Final answer
    x = 9,225.46

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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.