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Finding the Fourth Proportional to 11,704.77, 16,152.57 and 6,989.04

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Solution

The fourth proportional to 11,704.77, 16,152.57 and 6,989.04 is: 9,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.77 : 16,152.57 = 6,989.04 : x
  2. Step 2: Convert to fraction form
    11,704.77/16,152.57 = 6,989.04/x
  3. Step 3: Cross multiply
    11,704.77x = 16,152.57 × 6,989.04
  4. Step 4: Simplify right side
    11,704.77x = 112,890,957.83
  5. Step 5: Solve for x
    x = 112,890,957.83/11,704.77
  6. Step 6: Final answer
    x = 9,644.87

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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.