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Finding the Fourth Proportional to 10,409.26, 15,616.17 and 3,014.02

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Solution

The fourth proportional to 10,409.26, 15,616.17 and 3,014.02 is: 4,521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.26 : 15,616.17 = 3,014.02 : x
  2. Step 2: Convert to fraction form
    10,409.26/15,616.17 = 3,014.02/x
  3. Step 3: Cross multiply
    10,409.26x = 15,616.17 × 3,014.02
  4. Step 4: Simplify right side
    10,409.26x = 47,067,448.70
  5. Step 5: Solve for x
    x = 47,067,448.70/10,409.26
  6. Step 6: Final answer
    x = 4,521.69

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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.