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Finding the Fourth Proportional to 10,730.88, 16,102.62 and 5,991

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Solution

The fourth proportional to 10,730.88, 16,102.62 and 5,991 is: 8,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.88 : 16,102.62 = 5,991 : x
  2. Step 2: Convert to fraction form
    10,730.88/16,102.62 = 5,991/x
  3. Step 3: Cross multiply
    10,730.88x = 16,102.62 × 5,991
  4. Step 4: Simplify right side
    10,730.88x = 96,470,796.42
  5. Step 5: Solve for x
    x = 96,470,796.42/10,730.88
  6. Step 6: Final answer
    x = 8,990.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.