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Finding the Fourth Proportional to 11,057.46, 16,592.40 and 6,384.12

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Solution

The fourth proportional to 11,057.46, 16,592.40 and 6,384.12 is: 9,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.46 : 16,592.40 = 6,384.12 : x
  2. Step 2: Convert to fraction form
    11,057.46/16,592.40 = 6,384.12/x
  3. Step 3: Cross multiply
    11,057.46x = 16,592.40 × 6,384.12
  4. Step 4: Simplify right side
    11,057.46x = 105,927,872.69
  5. Step 5: Solve for x
    x = 105,927,872.69/11,057.46
  6. Step 6: Final answer
    x = 9,579.77

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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.