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Finding the Fourth Proportional to 10,411.90, 15,616.89 and 3,486.46

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Solution

The fourth proportional to 10,411.90, 15,616.89 and 3,486.46 is: 5,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.90 : 15,616.89 = 3,486.46 : x
  2. Step 2: Convert to fraction form
    10,411.90/15,616.89 = 3,486.46/x
  3. Step 3: Cross multiply
    10,411.90x = 15,616.89 × 3,486.46
  4. Step 4: Simplify right side
    10,411.90x = 54,447,662.31
  5. Step 5: Solve for x
    x = 54,447,662.31/10,411.90
  6. Step 6: Final answer
    x = 5,229.37

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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.