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Finding the Fourth Proportional to 11,828.88, 16,330.42 and 8,639

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Solution

The fourth proportional to 11,828.88, 16,330.42 and 8,639 is: 11,926.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.88 : 16,330.42 = 8,639 : x
  2. Step 2: Convert to fraction form
    11,828.88/16,330.42 = 8,639/x
  3. Step 3: Cross multiply
    11,828.88x = 16,330.42 × 8,639
  4. Step 4: Simplify right side
    11,828.88x = 141,078,498.38
  5. Step 5: Solve for x
    x = 141,078,498.38/11,828.88
  6. Step 6: Final answer
    x = 11,926.62

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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.