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Finding the Fourth Proportional to 10,202.92, 15,235.31 and 8,099.32

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Solution

The fourth proportional to 10,202.92, 15,235.31 and 8,099.32 is: 12,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.92 : 15,235.31 = 8,099.32 : x
  2. Step 2: Convert to fraction form
    10,202.92/15,235.31 = 8,099.32/x
  3. Step 3: Cross multiply
    10,202.92x = 15,235.31 × 8,099.32
  4. Step 4: Simplify right side
    10,202.92x = 123,395,650.99
  5. Step 5: Solve for x
    x = 123,395,650.99/10,202.92
  6. Step 6: Final answer
    x = 12,094.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.