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Finding the Fourth Proportional to 11,853.64, 17,768.10 and 4,830.60

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Solution

The fourth proportional to 11,853.64, 17,768.10 and 4,830.60 is: 7,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.64 : 17,768.10 = 4,830.60 : x
  2. Step 2: Convert to fraction form
    11,853.64/17,768.10 = 4,830.60/x
  3. Step 3: Cross multiply
    11,853.64x = 17,768.10 × 4,830.60
  4. Step 4: Simplify right side
    11,853.64x = 85,830,583.86
  5. Step 5: Solve for x
    x = 85,830,583.86/11,853.64
  6. Step 6: Final answer
    x = 7,240.87

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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.