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Finding the Fourth Proportional to 7,093.29, 10,614.87 and 5,214.78

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Solution

The fourth proportional to 7,093.29, 10,614.87 and 5,214.78 is: 7,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.29 : 10,614.87 = 5,214.78 : x
  2. Step 2: Convert to fraction form
    7,093.29/10,614.87 = 5,214.78/x
  3. Step 3: Cross multiply
    7,093.29x = 10,614.87 × 5,214.78
  4. Step 4: Simplify right side
    7,093.29x = 55,354,211.78
  5. Step 5: Solve for x
    x = 55,354,211.78/7,093.29
  6. Step 6: Final answer
    x = 7,803.74

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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.