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Finding the Fourth Proportional to 11,855.10, 17,782.54 and 4,833.47

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Solution

The fourth proportional to 11,855.10, 17,782.54 and 4,833.47 is: 7,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.10 : 17,782.54 = 4,833.47 : x
  2. Step 2: Convert to fraction form
    11,855.10/17,782.54 = 4,833.47/x
  3. Step 3: Cross multiply
    11,855.10x = 17,782.54 × 4,833.47
  4. Step 4: Simplify right side
    11,855.10x = 85,951,373.61
  5. Step 5: Solve for x
    x = 85,951,373.61/11,855.10
  6. Step 6: Final answer
    x = 7,250.16

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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.