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Finding the Fourth Proportional to 11,384, 15,709.92 and 6,416.96

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Solution

The fourth proportional to 11,384, 15,709.92 and 6,416.96 is: 8,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384 : 15,709.92 = 6,416.96 : x
  2. Step 2: Convert to fraction form
    11,384/15,709.92 = 6,416.96/x
  3. Step 3: Cross multiply
    11,384x = 15,709.92 × 6,416.96
  4. Step 4: Simplify right side
    11,384x = 100,809,928.24
  5. Step 5: Solve for x
    x = 100,809,928.24/11,384
  6. Step 6: Final answer
    x = 8,855.40

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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.