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Finding the Fourth Proportional to 11,571.51, 15,968.97 and 7,097.73

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Solution

The fourth proportional to 11,571.51, 15,968.97 and 7,097.73 is: 9,795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.51 : 15,968.97 = 7,097.73 : x
  2. Step 2: Convert to fraction form
    11,571.51/15,968.97 = 7,097.73/x
  3. Step 3: Cross multiply
    11,571.51x = 15,968.97 × 7,097.73
  4. Step 4: Simplify right side
    11,571.51x = 113,343,397.52
  5. Step 5: Solve for x
    x = 113,343,397.52/11,571.51
  6. Step 6: Final answer
    x = 9,795.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.