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Finding the Fourth Proportional to 11,679.58, 16,032.08 and 10,323.64

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Solution

The fourth proportional to 11,679.58, 16,032.08 and 10,323.64 is: 14,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.58 : 16,032.08 = 10,323.64 : x
  2. Step 2: Convert to fraction form
    11,679.58/16,032.08 = 10,323.64/x
  3. Step 3: Cross multiply
    11,679.58x = 16,032.08 × 10,323.64
  4. Step 4: Simplify right side
    11,679.58x = 165,509,422.37
  5. Step 5: Solve for x
    x = 165,509,422.37/11,679.58
  6. Step 6: Final answer
    x = 14,170.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.