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Finding the Fourth Proportional to 7,085.92, 10,629.78 and 2,154.82

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Solution

The fourth proportional to 7,085.92, 10,629.78 and 2,154.82 is: 3,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.92 : 10,629.78 = 2,154.82 : x
  2. Step 2: Convert to fraction form
    7,085.92/10,629.78 = 2,154.82/x
  3. Step 3: Cross multiply
    7,085.92x = 10,629.78 × 2,154.82
  4. Step 4: Simplify right side
    7,085.92x = 22,905,262.54
  5. Step 5: Solve for x
    x = 22,905,262.54/7,085.92
  6. Step 6: Final answer
    x = 3,232.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.