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Finding the Fourth Proportional to 10,087.96, 15,131.94 and 3,163

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Solution

The fourth proportional to 10,087.96, 15,131.94 and 3,163 is: 4,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.96 : 15,131.94 = 3,163 : x
  2. Step 2: Convert to fraction form
    10,087.96/15,131.94 = 3,163/x
  3. Step 3: Cross multiply
    10,087.96x = 15,131.94 × 3,163
  4. Step 4: Simplify right side
    10,087.96x = 47,862,326.22
  5. Step 5: Solve for x
    x = 47,862,326.22/10,087.96
  6. Step 6: Final answer
    x = 4,744.50

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Why These Related Problems?

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