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Finding the Fourth Proportional to 10,424.89, 15,638.88 and 3,029.41

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Solution

The fourth proportional to 10,424.89, 15,638.88 and 3,029.41 is: 4,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.89 : 15,638.88 = 3,029.41 : x
  2. Step 2: Convert to fraction form
    10,424.89/15,638.88 = 3,029.41/x
  3. Step 3: Cross multiply
    10,424.89x = 15,638.88 × 3,029.41
  4. Step 4: Simplify right side
    10,424.89x = 47,376,579.46
  5. Step 5: Solve for x
    x = 47,376,579.46/10,424.89
  6. Step 6: Final answer
    x = 4,544.56

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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.