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Finding the Fourth Proportional to 11,652.95, 16,081.26 and 6,347.76

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Solution

The fourth proportional to 11,652.95, 16,081.26 and 6,347.76 is: 8,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.95 : 16,081.26 = 6,347.76 : x
  2. Step 2: Convert to fraction form
    11,652.95/16,081.26 = 6,347.76/x
  3. Step 3: Cross multiply
    11,652.95x = 16,081.26 × 6,347.76
  4. Step 4: Simplify right side
    11,652.95x = 102,079,978.98
  5. Step 5: Solve for x
    x = 102,079,978.98/11,652.95
  6. Step 6: Final answer
    x = 8,760.02

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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.