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Finding the Fourth Proportional to 10,282.48, 14,189.71 and 5,806.11

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Solution

The fourth proportional to 10,282.48, 14,189.71 and 5,806.11 is: 8,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.48 : 14,189.71 = 5,806.11 : x
  2. Step 2: Convert to fraction form
    10,282.48/14,189.71 = 5,806.11/x
  3. Step 3: Cross multiply
    10,282.48x = 14,189.71 × 5,806.11
  4. Step 4: Simplify right side
    10,282.48x = 82,387,050.38
  5. Step 5: Solve for x
    x = 82,387,050.38/10,282.48
  6. Step 6: Final answer
    x = 8,012.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.