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Finding the Fourth Proportional to 10,672.33, 14,726.05 and 5,956.60

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Solution

The fourth proportional to 10,672.33, 14,726.05 and 5,956.60 is: 8,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.33 : 14,726.05 = 5,956.60 : x
  2. Step 2: Convert to fraction form
    10,672.33/14,726.05 = 5,956.60/x
  3. Step 3: Cross multiply
    10,672.33x = 14,726.05 × 5,956.60
  4. Step 4: Simplify right side
    10,672.33x = 87,717,189.43
  5. Step 5: Solve for x
    x = 87,717,189.43/10,672.33
  6. Step 6: Final answer
    x = 8,219.12

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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.