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Finding the Fourth Proportional to 10,424.70, 15,638.08 and 3,029.22

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Solution

The fourth proportional to 10,424.70, 15,638.08 and 3,029.22 is: 4,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.70 : 15,638.08 = 3,029.22 : x
  2. Step 2: Convert to fraction form
    10,424.70/15,638.08 = 3,029.22/x
  3. Step 3: Cross multiply
    10,424.70x = 15,638.08 × 3,029.22
  4. Step 4: Simplify right side
    10,424.70x = 47,371,214.01
  5. Step 5: Solve for x
    x = 47,371,214.01/10,424.70
  6. Step 6: Final answer
    x = 4,544.13

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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.