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Finding the Fourth Proportional to 11,689.44, 17,537.04 and 5,532

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Solution

The fourth proportional to 11,689.44, 17,537.04 and 5,532 is: 8,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.44 : 17,537.04 = 5,532 : x
  2. Step 2: Convert to fraction form
    11,689.44/17,537.04 = 5,532/x
  3. Step 3: Cross multiply
    11,689.44x = 17,537.04 × 5,532
  4. Step 4: Simplify right side
    11,689.44x = 97,014,905.28
  5. Step 5: Solve for x
    x = 97,014,905.28/11,689.44
  6. Step 6: Final answer
    x = 8,299.36

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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.