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Finding the Fourth Proportional to 11,701.50, 16,146.42 and 6,664.10

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Solution

The fourth proportional to 11,701.50, 16,146.42 and 6,664.10 is: 9,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.50 : 16,146.42 = 6,664.10 : x
  2. Step 2: Convert to fraction form
    11,701.50/16,146.42 = 6,664.10/x
  3. Step 3: Cross multiply
    11,701.50x = 16,146.42 × 6,664.10
  4. Step 4: Simplify right side
    11,701.50x = 107,601,357.52
  5. Step 5: Solve for x
    x = 107,601,357.52/11,701.50
  6. Step 6: Final answer
    x = 9,195.52

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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.