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Finding the Fourth Proportional to 10,057.76, 15,086.48 and 4,133.44

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Solution

The fourth proportional to 10,057.76, 15,086.48 and 4,133.44 is: 6,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.76 : 15,086.48 = 4,133.44 : x
  2. Step 2: Convert to fraction form
    10,057.76/15,086.48 = 4,133.44/x
  3. Step 3: Cross multiply
    10,057.76x = 15,086.48 × 4,133.44
  4. Step 4: Simplify right side
    10,057.76x = 62,359,059.89
  5. Step 5: Solve for x
    x = 62,359,059.89/10,057.76
  6. Step 6: Final answer
    x = 6,200.09

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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.