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Finding the Fourth Proportional to 11,968.60, 17,953.88 and 3,648.68

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Solution

The fourth proportional to 11,968.60, 17,953.88 and 3,648.68 is: 5,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.60 : 17,953.88 = 3,648.68 : x
  2. Step 2: Convert to fraction form
    11,968.60/17,953.88 = 3,648.68/x
  3. Step 3: Cross multiply
    11,968.60x = 17,953.88 × 3,648.68
  4. Step 4: Simplify right side
    11,968.60x = 65,507,962.88
  5. Step 5: Solve for x
    x = 65,507,962.88/11,968.60
  6. Step 6: Final answer
    x = 5,473.32

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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.