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Finding the Fourth Proportional to 10,350.86, 15,478.59 and 7,687.48

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Solution

The fourth proportional to 10,350.86, 15,478.59 and 7,687.48 is: 11,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.86 : 15,478.59 = 7,687.48 : x
  2. Step 2: Convert to fraction form
    10,350.86/15,478.59 = 7,687.48/x
  3. Step 3: Cross multiply
    10,350.86x = 15,478.59 × 7,687.48
  4. Step 4: Simplify right side
    10,350.86x = 118,991,351.05
  5. Step 5: Solve for x
    x = 118,991,351.05/10,350.86
  6. Step 6: Final answer
    x = 11,495.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.