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Finding the Fourth Proportional to 10,387.16, 14,338.91 and 8,082.33

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Solution

The fourth proportional to 10,387.16, 14,338.91 and 8,082.33 is: 11,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.16 : 14,338.91 = 8,082.33 : x
  2. Step 2: Convert to fraction form
    10,387.16/14,338.91 = 8,082.33/x
  3. Step 3: Cross multiply
    10,387.16x = 14,338.91 × 8,082.33
  4. Step 4: Simplify right side
    10,387.16x = 115,891,762.05
  5. Step 5: Solve for x
    x = 115,891,762.05/10,387.16
  6. Step 6: Final answer
    x = 11,157.22

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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.