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Finding the Fourth Proportional to 10,012.53, 13,816.73 and 5,536.01

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Solution

The fourth proportional to 10,012.53, 13,816.73 and 5,536.01 is: 7,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.53 : 13,816.73 = 5,536.01 : x
  2. Step 2: Convert to fraction form
    10,012.53/13,816.73 = 5,536.01/x
  3. Step 3: Cross multiply
    10,012.53x = 13,816.73 × 5,536.01
  4. Step 4: Simplify right side
    10,012.53x = 76,489,507.07
  5. Step 5: Solve for x
    x = 76,489,507.07/10,012.53
  6. Step 6: Final answer
    x = 7,639.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.