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Finding the Fourth Proportional to 11,331.90, 15,638.22 and 6,296.58

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Solution

The fourth proportional to 11,331.90, 15,638.22 and 6,296.58 is: 8,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.90 : 15,638.22 = 6,296.58 : x
  2. Step 2: Convert to fraction form
    11,331.90/15,638.22 = 6,296.58/x
  3. Step 3: Cross multiply
    11,331.90x = 15,638.22 × 6,296.58
  4. Step 4: Simplify right side
    11,331.90x = 98,467,303.29
  5. Step 5: Solve for x
    x = 98,467,303.29/11,331.90
  6. Step 6: Final answer
    x = 8,689.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.