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Finding the Fourth Proportional to 11,812.99, 16,296.24 and 7,342

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Solution

The fourth proportional to 11,812.99, 16,296.24 and 7,342 is: 10,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.99 : 16,296.24 = 7,342 : x
  2. Step 2: Convert to fraction form
    11,812.99/16,296.24 = 7,342/x
  3. Step 3: Cross multiply
    11,812.99x = 16,296.24 × 7,342
  4. Step 4: Simplify right side
    11,812.99x = 119,646,994.08
  5. Step 5: Solve for x
    x = 119,646,994.08/11,812.99
  6. Step 6: Final answer
    x = 10,128.43

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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.