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Finding the Fourth Proportional to 10,700.98, 16,035.27 and 7,923.22

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Solution

The fourth proportional to 10,700.98, 16,035.27 and 7,923.22 is: 11,872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.98 : 16,035.27 = 7,923.22 : x
  2. Step 2: Convert to fraction form
    10,700.98/16,035.27 = 7,923.22/x
  3. Step 3: Cross multiply
    10,700.98x = 16,035.27 × 7,923.22
  4. Step 4: Simplify right side
    10,700.98x = 127,050,971.97
  5. Step 5: Solve for x
    x = 127,050,971.97/10,700.98
  6. Step 6: Final answer
    x = 11,872.84

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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.