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Finding the Fourth Proportional to 7,208.26, 10,815.63 and 3,916.42

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Solution

The fourth proportional to 7,208.26, 10,815.63 and 3,916.42 is: 5,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.26 : 10,815.63 = 3,916.42 : x
  2. Step 2: Convert to fraction form
    7,208.26/10,815.63 = 3,916.42/x
  3. Step 3: Cross multiply
    7,208.26x = 10,815.63 × 3,916.42
  4. Step 4: Simplify right side
    7,208.26x = 42,358,507.92
  5. Step 5: Solve for x
    x = 42,358,507.92/7,208.26
  6. Step 6: Final answer
    x = 5,876.39

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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.