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Finding the Fourth Proportional to 11,980.40, 17,968.28 and 3,658.40

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Solution

The fourth proportional to 11,980.40, 17,968.28 and 3,658.40 is: 5,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.40 : 17,968.28 = 3,658.40 : x
  2. Step 2: Convert to fraction form
    11,980.40/17,968.28 = 3,658.40/x
  3. Step 3: Cross multiply
    11,980.40x = 17,968.28 × 3,658.40
  4. Step 4: Simplify right side
    11,980.40x = 65,735,155.55
  5. Step 5: Solve for x
    x = 65,735,155.55/11,980.40
  6. Step 6: Final answer
    x = 5,486.89

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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.