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Finding the Fourth Proportional to 11,858.60, 17,768.70 and 7,468.20

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Solution

The fourth proportional to 11,858.60, 17,768.70 and 7,468.20 is: 11,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.60 : 17,768.70 = 7,468.20 : x
  2. Step 2: Convert to fraction form
    11,858.60/17,768.70 = 7,468.20/x
  3. Step 3: Cross multiply
    11,858.60x = 17,768.70 × 7,468.20
  4. Step 4: Simplify right side
    11,858.60x = 132,700,205.34
  5. Step 5: Solve for x
    x = 132,700,205.34/11,858.60
  6. Step 6: Final answer
    x = 11,190.21

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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.