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Finding the Fourth Proportional to 11,809.18, 16,297.14 and 6,504.40

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Solution

The fourth proportional to 11,809.18, 16,297.14 and 6,504.40 is: 8,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.18 : 16,297.14 = 6,504.40 : x
  2. Step 2: Convert to fraction form
    11,809.18/16,297.14 = 6,504.40/x
  3. Step 3: Cross multiply
    11,809.18x = 16,297.14 × 6,504.40
  4. Step 4: Simplify right side
    11,809.18x = 106,003,117.42
  5. Step 5: Solve for x
    x = 106,003,117.42/11,809.18
  6. Step 6: Final answer
    x = 8,976.33

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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.