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Finding the Fourth Proportional to 10,012.50, 13,816.71 and 5,535.99

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Solution

The fourth proportional to 10,012.50, 13,816.71 and 5,535.99 is: 7,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.50 : 13,816.71 = 5,535.99 : x
  2. Step 2: Convert to fraction form
    10,012.50/13,816.71 = 5,535.99/x
  3. Step 3: Cross multiply
    10,012.50x = 13,816.71 × 5,535.99
  4. Step 4: Simplify right side
    10,012.50x = 76,489,168.39
  5. Step 5: Solve for x
    x = 76,489,168.39/10,012.50
  6. Step 6: Final answer
    x = 7,639.37

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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.