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Finding the Fourth Proportional to 11,918.88, 16,436 and 7,200.48

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Solution

The fourth proportional to 11,918.88, 16,436 and 7,200.48 is: 9,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.88 : 16,436 = 7,200.48 : x
  2. Step 2: Convert to fraction form
    11,918.88/16,436 = 7,200.48/x
  3. Step 3: Cross multiply
    11,918.88x = 16,436 × 7,200.48
  4. Step 4: Simplify right side
    11,918.88x = 118,347,089.28
  5. Step 5: Solve for x
    x = 118,347,089.28/11,918.88
  6. Step 6: Final answer
    x = 9,929.38

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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.