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Finding the Fourth Proportional to 10,950.72, 16,401.40 and 7,678.42

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Solution

The fourth proportional to 10,950.72, 16,401.40 and 7,678.42 is: 11,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.72 : 16,401.40 = 7,678.42 : x
  2. Step 2: Convert to fraction form
    10,950.72/16,401.40 = 7,678.42/x
  3. Step 3: Cross multiply
    10,950.72x = 16,401.40 × 7,678.42
  4. Step 4: Simplify right side
    10,950.72x = 125,936,837.79
  5. Step 5: Solve for x
    x = 125,936,837.79/10,950.72
  6. Step 6: Final answer
    x = 11,500.32

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