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Finding the Fourth Proportional to 10,161.37, 15,228.20 and 6,214

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Solution

The fourth proportional to 10,161.37, 15,228.20 and 6,214 is: 9,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.37 : 15,228.20 = 6,214 : x
  2. Step 2: Convert to fraction form
    10,161.37/15,228.20 = 6,214/x
  3. Step 3: Cross multiply
    10,161.37x = 15,228.20 × 6,214
  4. Step 4: Simplify right side
    10,161.37x = 94,628,034.80
  5. Step 5: Solve for x
    x = 94,628,034.80/10,161.37
  6. Step 6: Final answer
    x = 9,312.53

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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.