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Finding the Fourth Proportional to 11,412.21, 15,754.56 and 7,169.43

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Solution

The fourth proportional to 11,412.21, 15,754.56 and 7,169.43 is: 9,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.21 : 15,754.56 = 7,169.43 : x
  2. Step 2: Convert to fraction form
    11,412.21/15,754.56 = 7,169.43/x
  3. Step 3: Cross multiply
    11,412.21x = 15,754.56 × 7,169.43
  4. Step 4: Simplify right side
    11,412.21x = 112,951,215.10
  5. Step 5: Solve for x
    x = 112,951,215.10/11,412.21
  6. Step 6: Final answer
    x = 9,897.40

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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.