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Finding the Fourth Proportional to 10,807.53, 16,213.26 and 5,260.89

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Solution

The fourth proportional to 10,807.53, 16,213.26 and 5,260.89 is: 7,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.53 : 16,213.26 = 5,260.89 : x
  2. Step 2: Convert to fraction form
    10,807.53/16,213.26 = 5,260.89/x
  3. Step 3: Cross multiply
    10,807.53x = 16,213.26 × 5,260.89
  4. Step 4: Simplify right side
    10,807.53x = 85,296,177.40
  5. Step 5: Solve for x
    x = 85,296,177.40/10,807.53
  6. Step 6: Final answer
    x = 7,892.29

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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.