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Finding the Fourth Proportional to 11,853, 17,776.80 and 4,458.24

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Solution

The fourth proportional to 11,853, 17,776.80 and 4,458.24 is: 6,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853 : 17,776.80 = 4,458.24 : x
  2. Step 2: Convert to fraction form
    11,853/17,776.80 = 4,458.24/x
  3. Step 3: Cross multiply
    11,853x = 17,776.80 × 4,458.24
  4. Step 4: Simplify right side
    11,853x = 79,253,240.83
  5. Step 5: Solve for x
    x = 79,253,240.83/11,853
  6. Step 6: Final answer
    x = 6,686.34

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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.