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Finding the Fourth Proportional to 11,781.84, 16,259.22 and 6,476.79

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Solution

The fourth proportional to 11,781.84, 16,259.22 and 6,476.79 is: 8,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.84 : 16,259.22 = 6,476.79 : x
  2. Step 2: Convert to fraction form
    11,781.84/16,259.22 = 6,476.79/x
  3. Step 3: Cross multiply
    11,781.84x = 16,259.22 × 6,476.79
  4. Step 4: Simplify right side
    11,781.84x = 105,307,553.50
  5. Step 5: Solve for x
    x = 105,307,553.50/11,781.84
  6. Step 6: Final answer
    x = 8,938.12

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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.