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Finding the Fourth Proportional to 11,505.90, 15,869.88 and 6,786.84

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Solution

The fourth proportional to 11,505.90, 15,869.88 and 6,786.84 is: 9,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.90 : 15,869.88 = 6,786.84 : x
  2. Step 2: Convert to fraction form
    11,505.90/15,869.88 = 6,786.84/x
  3. Step 3: Cross multiply
    11,505.90x = 15,869.88 × 6,786.84
  4. Step 4: Simplify right side
    11,505.90x = 107,706,336.38
  5. Step 5: Solve for x
    x = 107,706,336.38/11,505.90
  6. Step 6: Final answer
    x = 9,360.97

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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.