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Finding the Fourth Proportional to 12,757.46, 19,137.63 and 5,360.54

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Solution

The fourth proportional to 12,757.46, 19,137.63 and 5,360.54 is: 8,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.46 : 19,137.63 = 5,360.54 : x
  2. Step 2: Convert to fraction form
    12,757.46/19,137.63 = 5,360.54/x
  3. Step 3: Cross multiply
    12,757.46x = 19,137.63 × 5,360.54
  4. Step 4: Simplify right side
    12,757.46x = 102,588,031.12
  5. Step 5: Solve for x
    x = 102,588,031.12/12,757.46
  6. Step 6: Final answer
    x = 8,041.42

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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.