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Finding the Fourth Proportional to 10,773.24, 16,164.96 and 4,534.68

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Solution

The fourth proportional to 10,773.24, 16,164.96 and 4,534.68 is: 6,804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.24 : 16,164.96 = 4,534.68 : x
  2. Step 2: Convert to fraction form
    10,773.24/16,164.96 = 4,534.68/x
  3. Step 3: Cross multiply
    10,773.24x = 16,164.96 × 4,534.68
  4. Step 4: Simplify right side
    10,773.24x = 73,302,920.81
  5. Step 5: Solve for x
    x = 73,302,920.81/10,773.24
  6. Step 6: Final answer
    x = 6,804.17

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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.