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Finding the Fourth Proportional to 11,463.92, 15,813.50 and 7,208.24

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Solution

The fourth proportional to 11,463.92, 15,813.50 and 7,208.24 is: 9,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.92 : 15,813.50 = 7,208.24 : x
  2. Step 2: Convert to fraction form
    11,463.92/15,813.50 = 7,208.24/x
  3. Step 3: Cross multiply
    11,463.92x = 15,813.50 × 7,208.24
  4. Step 4: Simplify right side
    11,463.92x = 113,987,537.90
  5. Step 5: Solve for x
    x = 113,987,537.90/11,463.92
  6. Step 6: Final answer
    x = 9,943.16

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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.