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Finding the Fourth Proportional to 11,986.29, 16,546.16 and 7,509.07

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Solution

The fourth proportional to 11,986.29, 16,546.16 and 7,509.07 is: 10,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.29 : 16,546.16 = 7,509.07 : x
  2. Step 2: Convert to fraction form
    11,986.29/16,546.16 = 7,509.07/x
  3. Step 3: Cross multiply
    11,986.29x = 16,546.16 × 7,509.07
  4. Step 4: Simplify right side
    11,986.29x = 124,246,273.67
  5. Step 5: Solve for x
    x = 124,246,273.67/11,986.29
  6. Step 6: Final answer
    x = 10,365.70

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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.