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Finding the Fourth Proportional to 10,520.58, 15,765.83 and 7,725.32

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Solution

The fourth proportional to 10,520.58, 15,765.83 and 7,725.32 is: 11,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.58 : 15,765.83 = 7,725.32 : x
  2. Step 2: Convert to fraction form
    10,520.58/15,765.83 = 7,725.32/x
  3. Step 3: Cross multiply
    10,520.58x = 15,765.83 × 7,725.32
  4. Step 4: Simplify right side
    10,520.58x = 121,796,140.54
  5. Step 5: Solve for x
    x = 121,796,140.54/10,520.58
  6. Step 6: Final answer
    x = 11,576.94

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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.