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Finding the Fourth Proportional to 11,331.63, 15,638.72 and 6,296.31

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Solution

The fourth proportional to 11,331.63, 15,638.72 and 6,296.31 is: 8,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.63 : 15,638.72 = 6,296.31 : x
  2. Step 2: Convert to fraction form
    11,331.63/15,638.72 = 6,296.31/x
  3. Step 3: Cross multiply
    11,331.63x = 15,638.72 × 6,296.31
  4. Step 4: Simplify right side
    11,331.63x = 98,466,197.64
  5. Step 5: Solve for x
    x = 98,466,197.64/11,331.63
  6. Step 6: Final answer
    x = 8,689.50

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