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Finding the Fourth Proportional to 8,431.76, 11,634.60 and 4,895.12

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Solution

The fourth proportional to 8,431.76, 11,634.60 and 4,895.12 is: 6,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.76 : 11,634.60 = 4,895.12 : x
  2. Step 2: Convert to fraction form
    8,431.76/11,634.60 = 4,895.12/x
  3. Step 3: Cross multiply
    8,431.76x = 11,634.60 × 4,895.12
  4. Step 4: Simplify right side
    8,431.76x = 56,952,763.15
  5. Step 5: Solve for x
    x = 56,952,763.15/8,431.76
  6. Step 6: Final answer
    x = 6,754.55

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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.