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Finding the Fourth Proportional to 8,155, 12,232.52 and 2,960.88

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Solution

The fourth proportional to 8,155, 12,232.52 and 2,960.88 is: 4,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155 : 12,232.52 = 2,960.88 : x
  2. Step 2: Convert to fraction form
    8,155/12,232.52 = 2,960.88/x
  3. Step 3: Cross multiply
    8,155x = 12,232.52 × 2,960.88
  4. Step 4: Simplify right side
    8,155x = 36,219,023.82
  5. Step 5: Solve for x
    x = 36,219,023.82/8,155
  6. Step 6: Final answer
    x = 4,441.33

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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.