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Finding the Fourth Proportional to 11,786.88, 16,256.16 and 8,430.24

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Solution

The fourth proportional to 11,786.88, 16,256.16 and 8,430.24 is: 11,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.88 : 16,256.16 = 8,430.24 : x
  2. Step 2: Convert to fraction form
    11,786.88/16,256.16 = 8,430.24/x
  3. Step 3: Cross multiply
    11,786.88x = 16,256.16 × 8,430.24
  4. Step 4: Simplify right side
    11,786.88x = 137,043,330.28
  5. Step 5: Solve for x
    x = 137,043,330.28/11,786.88
  6. Step 6: Final answer
    x = 11,626.77

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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.