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Finding the Fourth Proportional to 11,924.78, 17,887.18 and 4,133.58

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Solution

The fourth proportional to 11,924.78, 17,887.18 and 4,133.58 is: 6,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.78 : 17,887.18 = 4,133.58 : x
  2. Step 2: Convert to fraction form
    11,924.78/17,887.18 = 4,133.58/x
  3. Step 3: Cross multiply
    11,924.78x = 17,887.18 × 4,133.58
  4. Step 4: Simplify right side
    11,924.78x = 73,938,089.50
  5. Step 5: Solve for x
    x = 73,938,089.50/11,924.78
  6. Step 6: Final answer
    x = 6,200.37

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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.