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Finding the Fourth Proportional to 11,765.48, 16,232.22 and 7,284.56

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Solution

The fourth proportional to 11,765.48, 16,232.22 and 7,284.56 is: 10,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.48 : 16,232.22 = 7,284.56 : x
  2. Step 2: Convert to fraction form
    11,765.48/16,232.22 = 7,284.56/x
  3. Step 3: Cross multiply
    11,765.48x = 16,232.22 × 7,284.56
  4. Step 4: Simplify right side
    11,765.48x = 118,244,580.52
  5. Step 5: Solve for x
    x = 118,244,580.52/11,765.48
  6. Step 6: Final answer
    x = 10,050.13

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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.