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Finding the Fourth Proportional to 7,932.66, 11,874.68 and 7,099.98

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Solution

The fourth proportional to 7,932.66, 11,874.68 and 7,099.98 is: 10,628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.66 : 11,874.68 = 7,099.98 : x
  2. Step 2: Convert to fraction form
    7,932.66/11,874.68 = 7,099.98/x
  3. Step 3: Cross multiply
    7,932.66x = 11,874.68 × 7,099.98
  4. Step 4: Simplify right side
    7,932.66x = 84,309,990.51
  5. Step 5: Solve for x
    x = 84,309,990.51/7,932.66
  6. Step 6: Final answer
    x = 10,628.21

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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.