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Finding the Fourth Proportional to 10,029.57, 15,046.19 and 3,365.40

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Solution

The fourth proportional to 10,029.57, 15,046.19 and 3,365.40 is: 5,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.57 : 15,046.19 = 3,365.40 : x
  2. Step 2: Convert to fraction form
    10,029.57/15,046.19 = 3,365.40/x
  3. Step 3: Cross multiply
    10,029.57x = 15,046.19 × 3,365.40
  4. Step 4: Simplify right side
    10,029.57x = 50,636,431.00
  5. Step 5: Solve for x
    x = 50,636,431.00/10,029.57
  6. Step 6: Final answer
    x = 5,048.71

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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.