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Finding the Fourth Proportional to 11,573.28, 15,972.39 and 6,538.32

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Solution

The fourth proportional to 11,573.28, 15,972.39 and 6,538.32 is: 9,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.28 : 15,972.39 = 6,538.32 : x
  2. Step 2: Convert to fraction form
    11,573.28/15,972.39 = 6,538.32/x
  3. Step 3: Cross multiply
    11,573.28x = 15,972.39 × 6,538.32
  4. Step 4: Simplify right side
    11,573.28x = 104,432,596.98
  5. Step 5: Solve for x
    x = 104,432,596.98/11,573.28
  6. Step 6: Final answer
    x = 9,023.60

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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.