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Finding the Fourth Proportional to 10,435.69, 14,401.38 and 5,719.96

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Solution

The fourth proportional to 10,435.69, 14,401.38 and 5,719.96 is: 7,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.69 : 14,401.38 = 5,719.96 : x
  2. Step 2: Convert to fraction form
    10,435.69/14,401.38 = 5,719.96/x
  3. Step 3: Cross multiply
    10,435.69x = 14,401.38 × 5,719.96
  4. Step 4: Simplify right side
    10,435.69x = 82,375,317.54
  5. Step 5: Solve for x
    x = 82,375,317.54/10,435.69
  6. Step 6: Final answer
    x = 7,893.61

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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.