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Finding the Fourth Proportional to 10,838.53, 16,111.53 and 10,519.29

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Solution

The fourth proportional to 10,838.53, 16,111.53 and 10,519.29 is: 15,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.53 : 16,111.53 = 10,519.29 : x
  2. Step 2: Convert to fraction form
    10,838.53/16,111.53 = 10,519.29/x
  3. Step 3: Cross multiply
    10,838.53x = 16,111.53 × 10,519.29
  4. Step 4: Simplify right side
    10,838.53x = 169,481,775.86
  5. Step 5: Solve for x
    x = 169,481,775.86/10,838.53
  6. Step 6: Final answer
    x = 15,636.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.