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Finding the Fourth Proportional to 11,914.64, 17,862.63 and 7,522.88

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Solution

The fourth proportional to 11,914.64, 17,862.63 and 7,522.88 is: 11,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.64 : 17,862.63 = 7,522.88 : x
  2. Step 2: Convert to fraction form
    11,914.64/17,862.63 = 7,522.88/x
  3. Step 3: Cross multiply
    11,914.64x = 17,862.63 × 7,522.88
  4. Step 4: Simplify right side
    11,914.64x = 134,378,304.45
  5. Step 5: Solve for x
    x = 134,378,304.45/11,914.64
  6. Step 6: Final answer
    x = 11,278.42

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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.