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Finding the Fourth Proportional to 7,414.61, 10,218.03 and 5,315.09

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Solution

The fourth proportional to 7,414.61, 10,218.03 and 5,315.09 is: 7,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.61 : 10,218.03 = 5,315.09 : x
  2. Step 2: Convert to fraction form
    7,414.61/10,218.03 = 5,315.09/x
  3. Step 3: Cross multiply
    7,414.61x = 10,218.03 × 5,315.09
  4. Step 4: Simplify right side
    7,414.61x = 54,309,749.07
  5. Step 5: Solve for x
    x = 54,309,749.07/7,414.61
  6. Step 6: Final answer
    x = 7,324.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.