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Finding the Fourth Proportional to 11,902.61, 16,406.55 and 9,380.54

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Solution

The fourth proportional to 11,902.61, 16,406.55 and 9,380.54 is: 12,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.61 : 16,406.55 = 9,380.54 : x
  2. Step 2: Convert to fraction form
    11,902.61/16,406.55 = 9,380.54/x
  3. Step 3: Cross multiply
    11,902.61x = 16,406.55 × 9,380.54
  4. Step 4: Simplify right side
    11,902.61x = 153,902,339.55
  5. Step 5: Solve for x
    x = 153,902,339.55/11,902.61
  6. Step 6: Final answer
    x = 12,930.13

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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.