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Finding the Fourth Proportional to 11,609.20, 16,025.88 and 6,895

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Solution

The fourth proportional to 11,609.20, 16,025.88 and 6,895 is: 9,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.20 : 16,025.88 = 6,895 : x
  2. Step 2: Convert to fraction form
    11,609.20/16,025.88 = 6,895/x
  3. Step 3: Cross multiply
    11,609.20x = 16,025.88 × 6,895
  4. Step 4: Simplify right side
    11,609.20x = 110,498,442.60
  5. Step 5: Solve for x
    x = 110,498,442.60/11,609.20
  6. Step 6: Final answer
    x = 9,518.18

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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.