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Finding the Fourth Proportional to 10,246.01, 14,137.47 and 5,769.95

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Solution

The fourth proportional to 10,246.01, 14,137.47 and 5,769.95 is: 7,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.01 : 14,137.47 = 5,769.95 : x
  2. Step 2: Convert to fraction form
    10,246.01/14,137.47 = 5,769.95/x
  3. Step 3: Cross multiply
    10,246.01x = 14,137.47 × 5,769.95
  4. Step 4: Simplify right side
    10,246.01x = 81,572,424.34
  5. Step 5: Solve for x
    x = 81,572,424.34/10,246.01
  6. Step 6: Final answer
    x = 7,961.39

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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.