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Finding the Fourth Proportional to 11,665.76, 17,488.26 and 4,548.36

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Solution

The fourth proportional to 11,665.76, 17,488.26 and 4,548.36 is: 6,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.76 : 17,488.26 = 4,548.36 : x
  2. Step 2: Convert to fraction form
    11,665.76/17,488.26 = 4,548.36/x
  3. Step 3: Cross multiply
    11,665.76x = 17,488.26 × 4,548.36
  4. Step 4: Simplify right side
    11,665.76x = 79,542,826.18
  5. Step 5: Solve for x
    x = 79,542,826.18/11,665.76
  6. Step 6: Final answer
    x = 6,818.49

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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.