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Finding the Fourth Proportional to 11,610.98, 16,023.27 and 6,305.90

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Solution

The fourth proportional to 11,610.98, 16,023.27 and 6,305.90 is: 8,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.98 : 16,023.27 = 6,305.90 : x
  2. Step 2: Convert to fraction form
    11,610.98/16,023.27 = 6,305.90/x
  3. Step 3: Cross multiply
    11,610.98x = 16,023.27 × 6,305.90
  4. Step 4: Simplify right side
    11,610.98x = 101,041,138.29
  5. Step 5: Solve for x
    x = 101,041,138.29/11,610.98
  6. Step 6: Final answer
    x = 8,702.21

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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.