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Finding the Fourth Proportional to 10,029.29, 15,046.01 and 3,009.02

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Solution

The fourth proportional to 10,029.29, 15,046.01 and 3,009.02 is: 4,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.29 : 15,046.01 = 3,009.02 : x
  2. Step 2: Convert to fraction form
    10,029.29/15,046.01 = 3,009.02/x
  3. Step 3: Cross multiply
    10,029.29x = 15,046.01 × 3,009.02
  4. Step 4: Simplify right side
    10,029.29x = 45,273,654.74
  5. Step 5: Solve for x
    x = 45,273,654.74/10,029.29
  6. Step 6: Final answer
    x = 4,514.15

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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.