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Finding the Fourth Proportional to 10,431.39, 15,648.05 and 3,411.44

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Solution

The fourth proportional to 10,431.39, 15,648.05 and 3,411.44 is: 5,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.39 : 15,648.05 = 3,411.44 : x
  2. Step 2: Convert to fraction form
    10,431.39/15,648.05 = 3,411.44/x
  3. Step 3: Cross multiply
    10,431.39x = 15,648.05 × 3,411.44
  4. Step 4: Simplify right side
    10,431.39x = 53,382,450.90
  5. Step 5: Solve for x
    x = 53,382,450.90/10,431.39
  6. Step 6: Final answer
    x = 5,117.48

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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.