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Finding the Fourth Proportional to 10,833.59, 16,213.42 and 9,080.58

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Solution

The fourth proportional to 10,833.59, 16,213.42 and 9,080.58 is: 13,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.59 : 16,213.42 = 9,080.58 : x
  2. Step 2: Convert to fraction form
    10,833.59/16,213.42 = 9,080.58/x
  3. Step 3: Cross multiply
    10,833.59x = 16,213.42 × 9,080.58
  4. Step 4: Simplify right side
    10,833.59x = 147,227,257.38
  5. Step 5: Solve for x
    x = 147,227,257.38/10,833.59
  6. Step 6: Final answer
    x = 13,589.89

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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.