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Finding the Fourth Proportional to 11,721.77, 16,176.07 and 6,416.93

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Solution

The fourth proportional to 11,721.77, 16,176.07 and 6,416.93 is: 8,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721.77 : 16,176.07 = 6,416.93 : x
  2. Step 2: Convert to fraction form
    11,721.77/16,176.07 = 6,416.93/x
  3. Step 3: Cross multiply
    11,721.77x = 16,176.07 × 6,416.93
  4. Step 4: Simplify right side
    11,721.77x = 103,800,708.87
  5. Step 5: Solve for x
    x = 103,800,708.87/11,721.77
  6. Step 6: Final answer
    x = 8,855.38

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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.