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Finding the Fourth Proportional to 11,886.40, 17,815.20 and 5,305.60

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Solution

The fourth proportional to 11,886.40, 17,815.20 and 5,305.60 is: 7,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.40 : 17,815.20 = 5,305.60 : x
  2. Step 2: Convert to fraction form
    11,886.40/17,815.20 = 5,305.60/x
  3. Step 3: Cross multiply
    11,886.40x = 17,815.20 × 5,305.60
  4. Step 4: Simplify right side
    11,886.40x = 94,520,325.12
  5. Step 5: Solve for x
    x = 94,520,325.12/11,886.40
  6. Step 6: Final answer
    x = 7,951.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.