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Finding the Fourth Proportional to 10,068.50, 15,100.46 and 3,829.21

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Solution

The fourth proportional to 10,068.50, 15,100.46 and 3,829.21 is: 5,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.50 : 15,100.46 = 3,829.21 : x
  2. Step 2: Convert to fraction form
    10,068.50/15,100.46 = 3,829.21/x
  3. Step 3: Cross multiply
    10,068.50x = 15,100.46 × 3,829.21
  4. Step 4: Simplify right side
    10,068.50x = 57,822,789.90
  5. Step 5: Solve for x
    x = 57,822,789.90/10,068.50
  6. Step 6: Final answer
    x = 5,742.94

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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.