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Finding the Fourth Proportional to 10,665.84, 16,003.62 and 5,475.36

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Solution

The fourth proportional to 10,665.84, 16,003.62 and 5,475.36 is: 8,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.84 : 16,003.62 = 5,475.36 : x
  2. Step 2: Convert to fraction form
    10,665.84/16,003.62 = 5,475.36/x
  3. Step 3: Cross multiply
    10,665.84x = 16,003.62 × 5,475.36
  4. Step 4: Simplify right side
    10,665.84x = 87,625,580.80
  5. Step 5: Solve for x
    x = 87,625,580.80/10,665.84
  6. Step 6: Final answer
    x = 8,215.53

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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.