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Finding the Fourth Proportional to 11,952.40, 17,928.58 and 5,693.43

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Solution

The fourth proportional to 11,952.40, 17,928.58 and 5,693.43 is: 8,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.40 : 17,928.58 = 5,693.43 : x
  2. Step 2: Convert to fraction form
    11,952.40/17,928.58 = 5,693.43/x
  3. Step 3: Cross multiply
    11,952.40x = 17,928.58 × 5,693.43
  4. Step 4: Simplify right side
    11,952.40x = 102,075,115.23
  5. Step 5: Solve for x
    x = 102,075,115.23/11,952.40
  6. Step 6: Final answer
    x = 8,540.14

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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.