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Finding the Fourth Proportional to 11,546.28, 15,928.92 and 7,566.48

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Solution

The fourth proportional to 11,546.28, 15,928.92 and 7,566.48 is: 10,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.28 : 15,928.92 = 7,566.48 : x
  2. Step 2: Convert to fraction form
    11,546.28/15,928.92 = 7,566.48/x
  3. Step 3: Cross multiply
    11,546.28x = 15,928.92 × 7,566.48
  4. Step 4: Simplify right side
    11,546.28x = 120,525,854.60
  5. Step 5: Solve for x
    x = 120,525,854.60/11,546.28
  6. Step 6: Final answer
    x = 10,438.50

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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.