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Finding the Fourth Proportional to 11,732.49, 16,188.93 and 7,476.08

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Solution

The fourth proportional to 11,732.49, 16,188.93 and 7,476.08 is: 10,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.49 : 16,188.93 = 7,476.08 : x
  2. Step 2: Convert to fraction form
    11,732.49/16,188.93 = 7,476.08/x
  3. Step 3: Cross multiply
    11,732.49x = 16,188.93 × 7,476.08
  4. Step 4: Simplify right side
    11,732.49x = 121,029,654.85
  5. Step 5: Solve for x
    x = 121,029,654.85/11,732.49
  6. Step 6: Final answer
    x = 10,315.77

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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.