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Finding the Fourth Proportional to 11,571.75, 15,969.29 and 7,097.94

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Solution

The fourth proportional to 11,571.75, 15,969.29 and 7,097.94 is: 9,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.75 : 15,969.29 = 7,097.94 : x
  2. Step 2: Convert to fraction form
    11,571.75/15,969.29 = 7,097.94/x
  3. Step 3: Cross multiply
    11,571.75x = 15,969.29 × 7,097.94
  4. Step 4: Simplify right side
    11,571.75x = 113,349,026.77
  5. Step 5: Solve for x
    x = 113,349,026.77/11,571.75
  6. Step 6: Final answer
    x = 9,795.32

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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.