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Finding the Fourth Proportional to 11,577.91, 17,366.87 and 4,182.34

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Solution

The fourth proportional to 11,577.91, 17,366.87 and 4,182.34 is: 6,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.91 : 17,366.87 = 4,182.34 : x
  2. Step 2: Convert to fraction form
    11,577.91/17,366.87 = 4,182.34/x
  3. Step 3: Cross multiply
    11,577.91x = 17,366.87 × 4,182.34
  4. Step 4: Simplify right side
    11,577.91x = 72,634,155.08
  5. Step 5: Solve for x
    x = 72,634,155.08/11,577.91
  6. Step 6: Final answer
    x = 6,273.51

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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.