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Finding the Fourth Proportional to 11,654.94, 16,084.10 and 6,350.04

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Solution

The fourth proportional to 11,654.94, 16,084.10 and 6,350.04 is: 8,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.94 : 16,084.10 = 6,350.04 : x
  2. Step 2: Convert to fraction form
    11,654.94/16,084.10 = 6,350.04/x
  3. Step 3: Cross multiply
    11,654.94x = 16,084.10 × 6,350.04
  4. Step 4: Simplify right side
    11,654.94x = 102,134,678.36
  5. Step 5: Solve for x
    x = 102,134,678.36/11,654.94
  6. Step 6: Final answer
    x = 8,763.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.