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Finding the Fourth Proportional to 27,113.86, 40,666.68 and 7,394

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Solution

The fourth proportional to 27,113.86, 40,666.68 and 7,394 is: 11,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,113.86 : 40,666.68 = 7,394 : x
  2. Step 2: Convert to fraction form
    27,113.86/40,666.68 = 7,394/x
  3. Step 3: Cross multiply
    27,113.86x = 40,666.68 × 7,394
  4. Step 4: Simplify right side
    27,113.86x = 300,689,431.92
  5. Step 5: Solve for x
    x = 300,689,431.92/27,113.86
  6. Step 6: Final answer
    x = 11,089.88

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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.