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Finding the Fourth Proportional to 11,810.21, 16,297.88 and 6,504.98

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Solution

The fourth proportional to 11,810.21, 16,297.88 and 6,504.98 is: 8,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.21 : 16,297.88 = 6,504.98 : x
  2. Step 2: Convert to fraction form
    11,810.21/16,297.88 = 6,504.98/x
  3. Step 3: Cross multiply
    11,810.21x = 16,297.88 × 6,504.98
  4. Step 4: Simplify right side
    11,810.21x = 106,017,269.43
  5. Step 5: Solve for x
    x = 106,017,269.43/11,810.21
  6. Step 6: Final answer
    x = 8,976.75

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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.