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Finding the Fourth Proportional to 7,085.25, 10,627.92 and 2,468.25

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Solution

The fourth proportional to 7,085.25, 10,627.92 and 2,468.25 is: 3,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.25 : 10,627.92 = 2,468.25 : x
  2. Step 2: Convert to fraction form
    7,085.25/10,627.92 = 2,468.25/x
  3. Step 3: Cross multiply
    7,085.25x = 10,627.92 × 2,468.25
  4. Step 4: Simplify right side
    7,085.25x = 26,232,363.54
  5. Step 5: Solve for x
    x = 26,232,363.54/7,085.25
  6. Step 6: Final answer
    x = 3,702.39

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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.