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Finding the Fourth Proportional to 11,286.96, 15,577.50 and 6,813.24

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Solution

The fourth proportional to 11,286.96, 15,577.50 and 6,813.24 is: 9,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.96 : 15,577.50 = 6,813.24 : x
  2. Step 2: Convert to fraction form
    11,286.96/15,577.50 = 6,813.24/x
  3. Step 3: Cross multiply
    11,286.96x = 15,577.50 × 6,813.24
  4. Step 4: Simplify right side
    11,286.96x = 106,133,246.10
  5. Step 5: Solve for x
    x = 106,133,246.10/11,286.96
  6. Step 6: Final answer
    x = 9,403.17

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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.