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Finding the Fourth Proportional to 12,411.86, 17,137.32 and 7,638.22

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Solution

The fourth proportional to 12,411.86, 17,137.32 and 7,638.22 is: 10,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.86 : 17,137.32 = 7,638.22 : x
  2. Step 2: Convert to fraction form
    12,411.86/17,137.32 = 7,638.22/x
  3. Step 3: Cross multiply
    12,411.86x = 17,137.32 × 7,638.22
  4. Step 4: Simplify right side
    12,411.86x = 130,898,620.37
  5. Step 5: Solve for x
    x = 130,898,620.37/12,411.86
  6. Step 6: Final answer
    x = 10,546.25

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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.