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Finding the Fourth Proportional to 11,417.52, 17,116.96 and 5,087.76

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Solution

The fourth proportional to 11,417.52, 17,116.96 and 5,087.76 is: 7,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.52 : 17,116.96 = 5,087.76 : x
  2. Step 2: Convert to fraction form
    11,417.52/17,116.96 = 5,087.76/x
  3. Step 3: Cross multiply
    11,417.52x = 17,116.96 × 5,087.76
  4. Step 4: Simplify right side
    11,417.52x = 87,086,984.41
  5. Step 5: Solve for x
    x = 87,086,984.41/11,417.52
  6. Step 6: Final answer
    x = 7,627.49

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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.