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Finding the Fourth Proportional to 10,029.84, 15,046.16 and 4,185.11

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Solution

The fourth proportional to 10,029.84, 15,046.16 and 4,185.11 is: 6,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.84 : 15,046.16 = 4,185.11 : x
  2. Step 2: Convert to fraction form
    10,029.84/15,046.16 = 4,185.11/x
  3. Step 3: Cross multiply
    10,029.84x = 15,046.16 × 4,185.11
  4. Step 4: Simplify right side
    10,029.84x = 62,969,738.52
  5. Step 5: Solve for x
    x = 62,969,738.52/10,029.84
  6. Step 6: Final answer
    x = 6,278.24

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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.