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Finding the Fourth Proportional to 11,810.30, 16,192.39 and 11,599.50

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Solution

The fourth proportional to 11,810.30, 16,192.39 and 11,599.50 is: 15,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.30 : 16,192.39 = 11,599.50 : x
  2. Step 2: Convert to fraction form
    11,810.30/16,192.39 = 11,599.50/x
  3. Step 3: Cross multiply
    11,810.30x = 16,192.39 × 11,599.50
  4. Step 4: Simplify right side
    11,810.30x = 187,823,569.81
  5. Step 5: Solve for x
    x = 187,823,569.81/11,810.30
  6. Step 6: Final answer
    x = 15,903.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.