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Finding the Fourth Proportional to 11,704.71, 16,152.75 and 6,400.02

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Solution

The fourth proportional to 11,704.71, 16,152.75 and 6,400.02 is: 8,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.71 : 16,152.75 = 6,400.02 : x
  2. Step 2: Convert to fraction form
    11,704.71/16,152.75 = 6,400.02/x
  3. Step 3: Cross multiply
    11,704.71x = 16,152.75 × 6,400.02
  4. Step 4: Simplify right side
    11,704.71x = 103,377,923.06
  5. Step 5: Solve for x
    x = 103,377,923.06/11,704.71
  6. Step 6: Final answer
    x = 8,832.16

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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.