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Finding the Fourth Proportional to 11,734.08, 16,188.48 and 7,757.52

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Solution

The fourth proportional to 11,734.08, 16,188.48 and 7,757.52 is: 10,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.08 : 16,188.48 = 7,757.52 : x
  2. Step 2: Convert to fraction form
    11,734.08/16,188.48 = 7,757.52/x
  3. Step 3: Cross multiply
    11,734.08x = 16,188.48 × 7,757.52
  4. Step 4: Simplify right side
    11,734.08x = 125,582,457.37
  5. Step 5: Solve for x
    x = 125,582,457.37/11,734.08
  6. Step 6: Final answer
    x = 10,702.37

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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.