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Finding the Fourth Proportional to 11,573.31, 15,972.15 and 6,538.46

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Solution

The fourth proportional to 11,573.31, 15,972.15 and 6,538.46 is: 9,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.31 : 15,972.15 = 6,538.46 : x
  2. Step 2: Convert to fraction form
    11,573.31/15,972.15 = 6,538.46/x
  3. Step 3: Cross multiply
    11,573.31x = 15,972.15 × 6,538.46
  4. Step 4: Simplify right side
    11,573.31x = 104,433,184.03
  5. Step 5: Solve for x
    x = 104,433,184.03/11,573.31
  6. Step 6: Final answer
    x = 9,023.62

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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.