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Finding the Fourth Proportional to 10,846.48, 16,283.02 and 7,151.80

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Solution

The fourth proportional to 10,846.48, 16,283.02 and 7,151.80 is: 10,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.48 : 16,283.02 = 7,151.80 : x
  2. Step 2: Convert to fraction form
    10,846.48/16,283.02 = 7,151.80/x
  3. Step 3: Cross multiply
    10,846.48x = 16,283.02 × 7,151.80
  4. Step 4: Simplify right side
    10,846.48x = 116,452,902.44
  5. Step 5: Solve for x
    x = 116,452,902.44/10,846.48
  6. Step 6: Final answer
    x = 10,736.47

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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.