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Finding the Fourth Proportional to 12,538.88, 17,304 and 7,568

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Solution

The fourth proportional to 12,538.88, 17,304 and 7,568 is: 10,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.88 : 17,304 = 7,568 : x
  2. Step 2: Convert to fraction form
    12,538.88/17,304 = 7,568/x
  3. Step 3: Cross multiply
    12,538.88x = 17,304 × 7,568
  4. Step 4: Simplify right side
    12,538.88x = 130,956,672
  5. Step 5: Solve for x
    x = 130,956,672/12,538.88
  6. Step 6: Final answer
    x = 10,444.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.