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Finding the Fourth Proportional to 10,896.48, 16,347 and 3,501.42

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Solution

The fourth proportional to 10,896.48, 16,347 and 3,501.42 is: 5,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.48 : 16,347 = 3,501.42 : x
  2. Step 2: Convert to fraction form
    10,896.48/16,347 = 3,501.42/x
  3. Step 3: Cross multiply
    10,896.48x = 16,347 × 3,501.42
  4. Step 4: Simplify right side
    10,896.48x = 57,237,712.74
  5. Step 5: Solve for x
    x = 57,237,712.74/10,896.48
  6. Step 6: Final answer
    x = 5,252.86

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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.