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Finding the Fourth Proportional to 8,362.32, 12,529.78 and 5,892.82

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Solution

The fourth proportional to 8,362.32, 12,529.78 and 5,892.82 is: 8,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.32 : 12,529.78 = 5,892.82 : x
  2. Step 2: Convert to fraction form
    8,362.32/12,529.78 = 5,892.82/x
  3. Step 3: Cross multiply
    8,362.32x = 12,529.78 × 5,892.82
  4. Step 4: Simplify right side
    8,362.32x = 73,835,738.18
  5. Step 5: Solve for x
    x = 73,835,738.18/8,362.32
  6. Step 6: Final answer
    x = 8,829.58

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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.