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Finding the Fourth Proportional to 11,571.16, 15,960.54 and 7,384.60

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Solution

The fourth proportional to 11,571.16, 15,960.54 and 7,384.60 is: 10,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.16 : 15,960.54 = 7,384.60 : x
  2. Step 2: Convert to fraction form
    11,571.16/15,960.54 = 7,384.60/x
  3. Step 3: Cross multiply
    11,571.16x = 15,960.54 × 7,384.60
  4. Step 4: Simplify right side
    11,571.16x = 117,862,203.68
  5. Step 5: Solve for x
    x = 117,862,203.68/11,571.16
  6. Step 6: Final answer
    x = 10,185.86

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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.