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Finding the Fourth Proportional to 8,318.67, 12,464.29 and 7,461.28

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Solution

The fourth proportional to 8,318.67, 12,464.29 and 7,461.28 is: 11,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.67 : 12,464.29 = 7,461.28 : x
  2. Step 2: Convert to fraction form
    8,318.67/12,464.29 = 7,461.28/x
  3. Step 3: Cross multiply
    8,318.67x = 12,464.29 × 7,461.28
  4. Step 4: Simplify right side
    8,318.67x = 92,999,557.69
  5. Step 5: Solve for x
    x = 92,999,557.69/8,318.67
  6. Step 6: Final answer
    x = 11,179.62

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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.