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Finding the Fourth Proportional to 11,986.79, 16,546.85 and 7,509.57

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Solution

The fourth proportional to 11,986.79, 16,546.85 and 7,509.57 is: 10,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.79 : 16,546.85 = 7,509.57 : x
  2. Step 2: Convert to fraction form
    11,986.79/16,546.85 = 7,509.57/x
  3. Step 3: Cross multiply
    11,986.79x = 16,546.85 × 7,509.57
  4. Step 4: Simplify right side
    11,986.79x = 124,259,690.81
  5. Step 5: Solve for x
    x = 124,259,690.81/11,986.79
  6. Step 6: Final answer
    x = 10,366.39

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Why These Related Problems?

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