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Finding the Fourth Proportional to 10,193.04, 15,289.02 and 3,267

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Solution

The fourth proportional to 10,193.04, 15,289.02 and 3,267 is: 4,900.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.04 : 15,289.02 = 3,267 : x
  2. Step 2: Convert to fraction form
    10,193.04/15,289.02 = 3,267/x
  3. Step 3: Cross multiply
    10,193.04x = 15,289.02 × 3,267
  4. Step 4: Simplify right side
    10,193.04x = 49,949,228.34
  5. Step 5: Solve for x
    x = 49,949,228.34/10,193.04
  6. Step 6: Final answer
    x = 4,900.33

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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.