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Finding the Fourth Proportional to 11,971.12, 17,952.36 and 5,046.16

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Solution

The fourth proportional to 11,971.12, 17,952.36 and 5,046.16 is: 7,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.12 : 17,952.36 = 5,046.16 : x
  2. Step 2: Convert to fraction form
    11,971.12/17,952.36 = 5,046.16/x
  3. Step 3: Cross multiply
    11,971.12x = 17,952.36 × 5,046.16
  4. Step 4: Simplify right side
    11,971.12x = 90,590,480.94
  5. Step 5: Solve for x
    x = 90,590,480.94/11,971.12
  6. Step 6: Final answer
    x = 7,567.42

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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.