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Finding the Fourth Proportional to 11,734.40, 16,193.40 and 6,429.20

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Solution

The fourth proportional to 11,734.40, 16,193.40 and 6,429.20 is: 8,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.40 : 16,193.40 = 6,429.20 : x
  2. Step 2: Convert to fraction form
    11,734.40/16,193.40 = 6,429.20/x
  3. Step 3: Cross multiply
    11,734.40x = 16,193.40 × 6,429.20
  4. Step 4: Simplify right side
    11,734.40x = 104,110,607.28
  5. Step 5: Solve for x
    x = 104,110,607.28/11,734.40
  6. Step 6: Final answer
    x = 8,872.26

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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.