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Finding the Fourth Proportional to 10,182.69, 14,050.85 and 5,935.14

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Solution

The fourth proportional to 10,182.69, 14,050.85 and 5,935.14 is: 8,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.69 : 14,050.85 = 5,935.14 : x
  2. Step 2: Convert to fraction form
    10,182.69/14,050.85 = 5,935.14/x
  3. Step 3: Cross multiply
    10,182.69x = 14,050.85 × 5,935.14
  4. Step 4: Simplify right side
    10,182.69x = 83,393,732.19
  5. Step 5: Solve for x
    x = 83,393,732.19/10,182.69
  6. Step 6: Final answer
    x = 8,189.75

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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.