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Finding the Fourth Proportional to 11,646.72, 17,477.26 and 7,489.38

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Solution

The fourth proportional to 11,646.72, 17,477.26 and 7,489.38 is: 11,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.72 : 17,477.26 = 7,489.38 : x
  2. Step 2: Convert to fraction form
    11,646.72/17,477.26 = 7,489.38/x
  3. Step 3: Cross multiply
    11,646.72x = 17,477.26 × 7,489.38
  4. Step 4: Simplify right side
    11,646.72x = 130,893,841.50
  5. Step 5: Solve for x
    x = 130,893,841.50/11,646.72
  6. Step 6: Final answer
    x = 11,238.69

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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.