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Finding the Fourth Proportional to 11,878.34, 16,392.75 and 6,573.38

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Solution

The fourth proportional to 11,878.34, 16,392.75 and 6,573.38 is: 9,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.34 : 16,392.75 = 6,573.38 : x
  2. Step 2: Convert to fraction form
    11,878.34/16,392.75 = 6,573.38/x
  3. Step 3: Cross multiply
    11,878.34x = 16,392.75 × 6,573.38
  4. Step 4: Simplify right side
    11,878.34x = 107,755,775.00
  5. Step 5: Solve for x
    x = 107,755,775.00/11,878.34
  6. Step 6: Final answer
    x = 9,071.62

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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.