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Finding the Fourth Proportional to 10,517.56, 15,760.37 and 7,730.96

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Solution

The fourth proportional to 10,517.56, 15,760.37 and 7,730.96 is: 11,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.56 : 15,760.37 = 7,730.96 : x
  2. Step 2: Convert to fraction form
    10,517.56/15,760.37 = 7,730.96/x
  3. Step 3: Cross multiply
    10,517.56x = 15,760.37 × 7,730.96
  4. Step 4: Simplify right side
    10,517.56x = 121,842,730.58
  5. Step 5: Solve for x
    x = 121,842,730.58/10,517.56
  6. Step 6: Final answer
    x = 11,584.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.