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Finding the Fourth Proportional to 10,039.50, 13,835.41 and 7,351.54

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Solution

The fourth proportional to 10,039.50, 13,835.41 and 7,351.54 is: 10,131.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.50 : 13,835.41 = 7,351.54 : x
  2. Step 2: Convert to fraction form
    10,039.50/13,835.41 = 7,351.54/x
  3. Step 3: Cross multiply
    10,039.50x = 13,835.41 × 7,351.54
  4. Step 4: Simplify right side
    10,039.50x = 101,711,636.24
  5. Step 5: Solve for x
    x = 101,711,636.24/10,039.50
  6. Step 6: Final answer
    x = 10,131.15

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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.