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Finding the Fourth Proportional to 11,043.87, 15,234.62 and 7,680.83

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Solution

The fourth proportional to 11,043.87, 15,234.62 and 7,680.83 is: 10,595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043.87 : 15,234.62 = 7,680.83 : x
  2. Step 2: Convert to fraction form
    11,043.87/15,234.62 = 7,680.83/x
  3. Step 3: Cross multiply
    11,043.87x = 15,234.62 × 7,680.83
  4. Step 4: Simplify right side
    11,043.87x = 117,014,526.02
  5. Step 5: Solve for x
    x = 117,014,526.02/11,043.87
  6. Step 6: Final answer
    x = 10,595.43

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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.