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Finding the Fourth Proportional to 10,409.67, 15,612.08 and 3,012.14

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Solution

The fourth proportional to 10,409.67, 15,612.08 and 3,012.14 is: 4,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.67 : 15,612.08 = 3,012.14 : x
  2. Step 2: Convert to fraction form
    10,409.67/15,612.08 = 3,012.14/x
  3. Step 3: Cross multiply
    10,409.67x = 15,612.08 × 3,012.14
  4. Step 4: Simplify right side
    10,409.67x = 47,025,794.62
  5. Step 5: Solve for x
    x = 47,025,794.62/10,409.67
  6. Step 6: Final answer
    x = 4,517.51

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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.