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Finding the Fourth Proportional to 10,039.37, 13,854.10 and 5,790.44

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Solution

The fourth proportional to 10,039.37, 13,854.10 and 5,790.44 is: 7,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.37 : 13,854.10 = 5,790.44 : x
  2. Step 2: Convert to fraction form
    10,039.37/13,854.10 = 5,790.44/x
  3. Step 3: Cross multiply
    10,039.37x = 13,854.10 × 5,790.44
  4. Step 4: Simplify right side
    10,039.37x = 80,221,236.58
  5. Step 5: Solve for x
    x = 80,221,236.58/10,039.37
  6. Step 6: Final answer
    x = 7,990.67

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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.