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Finding the Fourth Proportional to 10,942.14, 16,421.07 and 7,423.38

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Solution

The fourth proportional to 10,942.14, 16,421.07 and 7,423.38 is: 11,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.14 : 16,421.07 = 7,423.38 : x
  2. Step 2: Convert to fraction form
    10,942.14/16,421.07 = 7,423.38/x
  3. Step 3: Cross multiply
    10,942.14x = 16,421.07 × 7,423.38
  4. Step 4: Simplify right side
    10,942.14x = 121,899,842.62
  5. Step 5: Solve for x
    x = 121,899,842.62/10,942.14
  6. Step 6: Final answer
    x = 11,140.40

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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.