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Finding the Fourth Proportional to 11,810.51, 16,297.86 and 6,504.91

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Solution

The fourth proportional to 11,810.51, 16,297.86 and 6,504.91 is: 8,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.51 : 16,297.86 = 6,504.91 : x
  2. Step 2: Convert to fraction form
    11,810.51/16,297.86 = 6,504.91/x
  3. Step 3: Cross multiply
    11,810.51x = 16,297.86 × 6,504.91
  4. Step 4: Simplify right side
    11,810.51x = 106,016,059.55
  5. Step 5: Solve for x
    x = 106,016,059.55/11,810.51
  6. Step 6: Final answer
    x = 8,976.42

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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.