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Finding the Fourth Proportional to 11,827.48, 17,745.42 and 5,253.08

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Solution

The fourth proportional to 11,827.48, 17,745.42 and 5,253.08 is: 7,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.48 : 17,745.42 = 5,253.08 : x
  2. Step 2: Convert to fraction form
    11,827.48/17,745.42 = 5,253.08/x
  3. Step 3: Cross multiply
    11,827.48x = 17,745.42 × 5,253.08
  4. Step 4: Simplify right side
    11,827.48x = 93,218,110.89
  5. Step 5: Solve for x
    x = 93,218,110.89/11,827.48
  6. Step 6: Final answer
    x = 7,881.49

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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.