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Finding the Fourth Proportional to 8,428.98, 11,628.39 and 6,186.99

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Solution

The fourth proportional to 8,428.98, 11,628.39 and 6,186.99 is: 8,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.98 : 11,628.39 = 6,186.99 : x
  2. Step 2: Convert to fraction form
    8,428.98/11,628.39 = 6,186.99/x
  3. Step 3: Cross multiply
    8,428.98x = 11,628.39 × 6,186.99
  4. Step 4: Simplify right side
    8,428.98x = 71,944,732.65
  5. Step 5: Solve for x
    x = 71,944,732.65/8,428.98
  6. Step 6: Final answer
    x = 8,535.40

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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.