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Finding the Fourth Proportional to 8,546.30, 12,811.81 and 4,599.66

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Solution

The fourth proportional to 8,546.30, 12,811.81 and 4,599.66 is: 6,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.30 : 12,811.81 = 4,599.66 : x
  2. Step 2: Convert to fraction form
    8,546.30/12,811.81 = 4,599.66/x
  3. Step 3: Cross multiply
    8,546.30x = 12,811.81 × 4,599.66
  4. Step 4: Simplify right side
    8,546.30x = 58,929,969.98
  5. Step 5: Solve for x
    x = 58,929,969.98/8,546.30
  6. Step 6: Final answer
    x = 6,895.38

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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.