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Finding the Fourth Proportional to 12,407.16, 17,125.92 and 8,440.32

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Solution

The fourth proportional to 12,407.16, 17,125.92 and 8,440.32 is: 11,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.16 : 17,125.92 = 8,440.32 : x
  2. Step 2: Convert to fraction form
    12,407.16/17,125.92 = 8,440.32/x
  3. Step 3: Cross multiply
    12,407.16x = 17,125.92 × 8,440.32
  4. Step 4: Simplify right side
    12,407.16x = 144,548,245.09
  5. Step 5: Solve for x
    x = 144,548,245.09/12,407.16
  6. Step 6: Final answer
    x = 11,650.39

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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.