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Finding the Fourth Proportional to 11,544.48, 15,933.78 and 7,558.20

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Solution

The fourth proportional to 11,544.48, 15,933.78 and 7,558.20 is: 10,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.48 : 15,933.78 = 7,558.20 : x
  2. Step 2: Convert to fraction form
    11,544.48/15,933.78 = 7,558.20/x
  3. Step 3: Cross multiply
    11,544.48x = 15,933.78 × 7,558.20
  4. Step 4: Simplify right side
    11,544.48x = 120,430,696.00
  5. Step 5: Solve for x
    x = 120,430,696.00/11,544.48
  6. Step 6: Final answer
    x = 10,431.89

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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.