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Finding the Fourth Proportional to 12,569.44, 18,853.60 and 5,172

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Solution

The fourth proportional to 12,569.44, 18,853.60 and 5,172 is: 7,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.44 : 18,853.60 = 5,172 : x
  2. Step 2: Convert to fraction form
    12,569.44/18,853.60 = 5,172/x
  3. Step 3: Cross multiply
    12,569.44x = 18,853.60 × 5,172
  4. Step 4: Simplify right side
    12,569.44x = 97,510,819.20
  5. Step 5: Solve for x
    x = 97,510,819.20/12,569.44
  6. Step 6: Final answer
    x = 7,757.77

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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.