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Finding the Fourth Proportional to 11,625.66, 17,428.74 and 6,693.60

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Solution

The fourth proportional to 11,625.66, 17,428.74 and 6,693.60 is: 10,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.66 : 17,428.74 = 6,693.60 : x
  2. Step 2: Convert to fraction form
    11,625.66/17,428.74 = 6,693.60/x
  3. Step 3: Cross multiply
    11,625.66x = 17,428.74 × 6,693.60
  4. Step 4: Simplify right side
    11,625.66x = 116,661,014.06
  5. Step 5: Solve for x
    x = 116,661,014.06/11,625.66
  6. Step 6: Final answer
    x = 10,034.79

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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.