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Finding the Fourth Proportional to 12,592.64, 18,890.03 and 3,827.63

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Solution

The fourth proportional to 12,592.64, 18,890.03 and 3,827.63 is: 5,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.64 : 18,890.03 = 3,827.63 : x
  2. Step 2: Convert to fraction form
    12,592.64/18,890.03 = 3,827.63/x
  3. Step 3: Cross multiply
    12,592.64x = 18,890.03 × 3,827.63
  4. Step 4: Simplify right side
    12,592.64x = 72,304,073.62
  5. Step 5: Solve for x
    x = 72,304,073.62/12,592.64
  6. Step 6: Final answer
    x = 5,741.77

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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.