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Finding the Fourth Proportional to 7,002.25, 10,506.39 and 2,619.16

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Solution

The fourth proportional to 7,002.25, 10,506.39 and 2,619.16 is: 3,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.25 : 10,506.39 = 2,619.16 : x
  2. Step 2: Convert to fraction form
    7,002.25/10,506.39 = 2,619.16/x
  3. Step 3: Cross multiply
    7,002.25x = 10,506.39 × 2,619.16
  4. Step 4: Simplify right side
    7,002.25x = 27,517,916.43
  5. Step 5: Solve for x
    x = 27,517,916.43/7,002.25
  6. Step 6: Final answer
    x = 3,929.87

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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.