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Finding the Fourth Proportional to 8,900.38, 12,282.98 and 5,124.09

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Solution

The fourth proportional to 8,900.38, 12,282.98 and 5,124.09 is: 7,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.38 : 12,282.98 = 5,124.09 : x
  2. Step 2: Convert to fraction form
    8,900.38/12,282.98 = 5,124.09/x
  3. Step 3: Cross multiply
    8,900.38x = 12,282.98 × 5,124.09
  4. Step 4: Simplify right side
    8,900.38x = 62,939,107.80
  5. Step 5: Solve for x
    x = 62,939,107.80/8,900.38
  6. Step 6: Final answer
    x = 7,071.51

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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.