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Finding the Fourth Proportional to 10,193.76, 15,292.80 and 3,173.61

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Solution

The fourth proportional to 10,193.76, 15,292.80 and 3,173.61 is: 4,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.76 : 15,292.80 = 3,173.61 : x
  2. Step 2: Convert to fraction form
    10,193.76/15,292.80 = 3,173.61/x
  3. Step 3: Cross multiply
    10,193.76x = 15,292.80 × 3,173.61
  4. Step 4: Simplify right side
    10,193.76x = 48,533,383.01
  5. Step 5: Solve for x
    x = 48,533,383.01/10,193.76
  6. Step 6: Final answer
    x = 4,761.09

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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.