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Finding the Fourth Proportional to 11,876.36, 16,381.68 and 9,354.38

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Solution

The fourth proportional to 11,876.36, 16,381.68 and 9,354.38 is: 12,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.36 : 16,381.68 = 9,354.38 : x
  2. Step 2: Convert to fraction form
    11,876.36/16,381.68 = 9,354.38/x
  3. Step 3: Cross multiply
    11,876.36x = 16,381.68 × 9,354.38
  4. Step 4: Simplify right side
    11,876.36x = 153,240,459.76
  5. Step 5: Solve for x
    x = 153,240,459.76/11,876.36
  6. Step 6: Final answer
    x = 12,902.98

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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.