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Finding the Fourth Proportional to 10,221.94, 15,362.07 and 5,031.46

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Solution

The fourth proportional to 10,221.94, 15,362.07 and 5,031.46 is: 7,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.94 : 15,362.07 = 5,031.46 : x
  2. Step 2: Convert to fraction form
    10,221.94/15,362.07 = 5,031.46/x
  3. Step 3: Cross multiply
    10,221.94x = 15,362.07 × 5,031.46
  4. Step 4: Simplify right side
    10,221.94x = 77,293,640.72
  5. Step 5: Solve for x
    x = 77,293,640.72/10,221.94
  6. Step 6: Final answer
    x = 7,561.54

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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.