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Finding the Fourth Proportional to 10,029.96, 15,046.96 and 3,010.08

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Solution

The fourth proportional to 10,029.96, 15,046.96 and 3,010.08 is: 4,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.96 : 15,046.96 = 3,010.08 : x
  2. Step 2: Convert to fraction form
    10,029.96/15,046.96 = 3,010.08/x
  3. Step 3: Cross multiply
    10,029.96x = 15,046.96 × 3,010.08
  4. Step 4: Simplify right side
    10,029.96x = 45,292,553.36
  5. Step 5: Solve for x
    x = 45,292,553.36/10,029.96
  6. Step 6: Final answer
    x = 4,515.73

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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.