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Finding the Fourth Proportional to 10,540.34, 15,803.22 and 4,614.38

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Solution

The fourth proportional to 10,540.34, 15,803.22 and 4,614.38 is: 6,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.34 : 15,803.22 = 4,614.38 : x
  2. Step 2: Convert to fraction form
    10,540.34/15,803.22 = 4,614.38/x
  3. Step 3: Cross multiply
    10,540.34x = 15,803.22 × 4,614.38
  4. Step 4: Simplify right side
    10,540.34x = 72,922,033.90
  5. Step 5: Solve for x
    x = 72,922,033.90/10,540.34
  6. Step 6: Final answer
    x = 6,918.38

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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.