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Finding the Fourth Proportional to 11,577.57, 15,977.03 and 6,272.41

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Solution

The fourth proportional to 11,577.57, 15,977.03 and 6,272.41 is: 8,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.57 : 15,977.03 = 6,272.41 : x
  2. Step 2: Convert to fraction form
    11,577.57/15,977.03 = 6,272.41/x
  3. Step 3: Cross multiply
    11,577.57x = 15,977.03 × 6,272.41
  4. Step 4: Simplify right side
    11,577.57x = 100,214,371.50
  5. Step 5: Solve for x
    x = 100,214,371.50/11,577.57
  6. Step 6: Final answer
    x = 8,655.91

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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.