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Finding the Fourth Proportional to 11,817.29, 16,313.16 and 7,038.83

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Solution

The fourth proportional to 11,817.29, 16,313.16 and 7,038.83 is: 9,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.29 : 16,313.16 = 7,038.83 : x
  2. Step 2: Convert to fraction form
    11,817.29/16,313.16 = 7,038.83/x
  3. Step 3: Cross multiply
    11,817.29x = 16,313.16 × 7,038.83
  4. Step 4: Simplify right side
    11,817.29x = 114,825,627.18
  5. Step 5: Solve for x
    x = 114,825,627.18/11,817.29
  6. Step 6: Final answer
    x = 9,716.75

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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.