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Finding the Fourth Proportional to 6,926.76, 10,383.84 and 3,029.76

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Solution

The fourth proportional to 6,926.76, 10,383.84 and 3,029.76 is: 4,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.76 : 10,383.84 = 3,029.76 : x
  2. Step 2: Convert to fraction form
    6,926.76/10,383.84 = 3,029.76/x
  3. Step 3: Cross multiply
    6,926.76x = 10,383.84 × 3,029.76
  4. Step 4: Simplify right side
    6,926.76x = 31,460,543.08
  5. Step 5: Solve for x
    x = 31,460,543.08/6,926.76
  6. Step 6: Final answer
    x = 4,541.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.