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Finding the Fourth Proportional to 11,192.88, 15,446.52 and 8,393.52

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Solution

The fourth proportional to 11,192.88, 15,446.52 and 8,393.52 is: 11,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.88 : 15,446.52 = 8,393.52 : x
  2. Step 2: Convert to fraction form
    11,192.88/15,446.52 = 8,393.52/x
  3. Step 3: Cross multiply
    11,192.88x = 15,446.52 × 8,393.52
  4. Step 4: Simplify right side
    11,192.88x = 129,650,674.55
  5. Step 5: Solve for x
    x = 129,650,674.55/11,192.88
  6. Step 6: Final answer
    x = 11,583.32

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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.