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Finding the Fourth Proportional to 10,021.68, 15,033.78 and 5,087.16

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Solution

The fourth proportional to 10,021.68, 15,033.78 and 5,087.16 is: 7,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.68 : 15,033.78 = 5,087.16 : x
  2. Step 2: Convert to fraction form
    10,021.68/15,033.78 = 5,087.16/x
  3. Step 3: Cross multiply
    10,021.68x = 15,033.78 × 5,087.16
  4. Step 4: Simplify right side
    10,021.68x = 76,479,244.26
  5. Step 5: Solve for x
    x = 76,479,244.26/10,021.68
  6. Step 6: Final answer
    x = 7,631.38

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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.