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Finding the Fourth Proportional to 10,039.86, 13,850.60 and 7,057.62

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Solution

The fourth proportional to 10,039.86, 13,850.60 and 7,057.62 is: 9,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.86 : 13,850.60 = 7,057.62 : x
  2. Step 2: Convert to fraction form
    10,039.86/13,850.60 = 7,057.62/x
  3. Step 3: Cross multiply
    10,039.86x = 13,850.60 × 7,057.62
  4. Step 4: Simplify right side
    10,039.86x = 97,752,271.57
  5. Step 5: Solve for x
    x = 97,752,271.57/10,039.86
  6. Step 6: Final answer
    x = 9,736.42

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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.