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Finding the Fourth Proportional to 8,290.81, 11,441.05 and 4,932.85

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Solution

The fourth proportional to 8,290.81, 11,441.05 and 4,932.85 is: 6,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.81 : 11,441.05 = 4,932.85 : x
  2. Step 2: Convert to fraction form
    8,290.81/11,441.05 = 4,932.85/x
  3. Step 3: Cross multiply
    8,290.81x = 11,441.05 × 4,932.85
  4. Step 4: Simplify right side
    8,290.81x = 56,436,964.01
  5. Step 5: Solve for x
    x = 56,436,964.01/8,290.81
  6. Step 6: Final answer
    x = 6,807.17

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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.