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Finding the Fourth Proportional to 10,411.99, 15,617.96 and 3,016.44

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Solution

The fourth proportional to 10,411.99, 15,617.96 and 3,016.44 is: 4,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.99 : 15,617.96 = 3,016.44 : x
  2. Step 2: Convert to fraction form
    10,411.99/15,617.96 = 3,016.44/x
  3. Step 3: Cross multiply
    10,411.99x = 15,617.96 × 3,016.44
  4. Step 4: Simplify right side
    10,411.99x = 47,110,639.26
  5. Step 5: Solve for x
    x = 47,110,639.26/10,411.99
  6. Step 6: Final answer
    x = 4,524.65

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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.